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Simple Modules sentence examples within Dimensional Simple Modules
The gradings on the finite-dimensional simple modules over simple Lie algebras have been studied in 7, 8.
The gradings on the finite-dimensional simple modules over simple Lie algebras have been studied in 7, 8.
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We also investigate the tensor products of the C[K±1]\mathbb{C}[K^{\pm 1}]-free modules with finite-dimensional simple modules over Uq(sl2)U_{q}(\mathfrak{sl}_{2}), and for the generic cases, we obtain direct sum decomposition formulas for them, which are similar to the well-known Clebsch–Gordan formula for tensor products between finite-dimensional weight modules over Uq(sl2)U_{q}(\mathfrak{sl}_{2}).
We also investigate the tensor products of the C[K±1]\mathbb{C}[K^{\pm 1}]-free modules with finite-dimensional simple modules over Uq(sl2)U_{q}(\mathfrak{sl}_{2}), and for the generic cases, we obtain direct sum decomposition formulas for them, which are similar to the well-known Clebsch–Gordan formula for tensor products between finite-dimensional weight modules over Uq(sl2)U_{q}(\mathfrak{sl}_{2}).
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Simple Modules sentence examples within Isomorphic Simple Modules
Specifically, in a particular class of these rings, which have only two non-isomorphic simple modules, by means of the strong preinjective partition of R-ind, we enumerate all idempotent preradicals, all radicals and all torsion theories, and we also give a description of the structure of all preradicals.
Specifically, in a particular class of these rings, which have only two non-isomorphic simple modules, by means of the strong preinjective partition of R-ind, we enumerate all idempotent preradicals, all radicals and all torsion theories, and we also give a description of the structure of all preradicals.
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Assume A is a basic connected and triangular algebra with n pairwise non-isomorphic simple modules.
Assume A is a basic connected and triangular algebra with n pairwise non-isomorphic simple modules.
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Simple Modules sentence examples within Three Simple Modules
We discuss the classification of strongly regular vertex operator algebras (VOAs) with exactly three simple modules whose character vector satisfies a monic modular linear differential equation with irreducible monodromy.
We discuss the classification of strongly regular vertex operator algebras (VOAs) with exactly three simple modules whose character vector satisfies a monic modular linear differential equation with irreducible monodromy.
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The approach is based on a combination of three simple modules: 1) flood frequency analysis (frequency and peak discharge), 2) estimation of inundation depth, and 3) damage and loss estimation.
The approach is based on a combination of three simple modules: 1) flood frequency analysis (frequency and peak discharge), 2) estimation of inundation depth, and 3) damage and loss estimation.
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Simple Modules sentence examples within Certain Simple Modules
For those deformations that satisfy a certain non-degeneracy condition, we describe the structure of certain simple modules of the deformations of the subcharacter algebra of a finite group.
For those deformations that satisfy a certain non-degeneracy condition, we describe the structure of certain simple modules of the deformations of the subcharacter algebra of a finite group.
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We investigate integral forms of certain simple modules over group algebras in characteristic 0 whose $p$-modular reductions have precisely three composition factors.
We investigate integral forms of certain simple modules over group algebras in characteristic 0 whose $p$-modular reductions have precisely three composition factors.
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Simple Modules sentence examples within Two Simple Modules
Based on the extracted features by the feature extraction module (FEM) and the central information of ships, AR²Det adopts two simple modules, ship detector (SDet) and center detector (CDet), to generate and improve the detection results, respectively.
Based on the extracted features by the feature extraction module (FEM) and the central information of ships, AR²Det adopts two simple modules, ship detector (SDet) and center detector (CDet), to generate and improve the detection results, respectively.
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In this paper, we propose two simple modules, group communication and context codec, that can be easily applied to a wide range of architectures to jointly decrease the model size and complexity without sacrificing the performance.
In this paper, we propose two simple modules, group communication and context codec, that can be easily applied to a wide range of architectures to jointly decrease the model size and complexity without sacrificing the performance.
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10.1142/9789811230295_0006
The Jordan-Hölder theorem for modules says that the ways in which a module can be built up from simple modules are essentially unique.
The Jordan-Hölder theorem for modules says that the ways in which a module can be built up from simple modules are essentially unique.
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10.1016/J.JALGEBRA.2021.06.007
In the end, we show that objects in the category R are restricted V q ˜ -modules, and we classify simple modules in the category R.
In the end, we show that objects in the category R are restricted V q ˜ -modules, and we classify simple modules in the category R.
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10.22034/KJM.2021.203331.1578
The primeness of simple modules over Leavitt path algebras is also discussed.
The primeness of simple modules over Leavitt path algebras is also discussed.
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10.1016/j.aim.2021.108052
As main theorem, we prove that these bounds agree whenever the first non-trivial grade conditions are satified for simple modules, so that either invariant computes the finitistic dimension in this case.
As main theorem, we prove that these bounds agree whenever the first non-trivial grade conditions are satified for simple modules, so that either invariant computes the finitistic dimension in this case.
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10.1142/s0219498822502292
The gradings on the finite-dimensional simple modules over simple Lie algebras have been studied in 7, 8.
The gradings on the finite-dimensional simple modules over simple Lie algebras have been studied in 7, 8.
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10.1007/S00200-021-00487-7
We derive consequences for exact structures generated by the simple modules and the modules with zero Jacobson radical.
We derive consequences for exact structures generated by the simple modules and the modules with zero Jacobson radical.
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10.1016/J.JALGEBRA.2021.01.025
We use simple modules over the finite-dimensional solvable Lie algebras to construct many simple restricted modules over the Heisenberg-Virasoro algebra L.
We use simple modules over the finite-dimensional solvable Lie algebras to construct many simple restricted modules over the Heisenberg-Virasoro algebra L.
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10.1142/s0218196721500168
Let A′ be the Auslander algebra of a finite dimensional basic connected Nakayama algebra A with radical cube zero and n simple modules.
Let A′ be the Auslander algebra of a finite dimensional basic connected Nakayama algebra A with radical cube zero and n simple modules.
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10.1515/forum-2020-0345
We also investigate the tensor products of the C[K±1]\mathbb{C}[K^{\pm 1}]-free modules with finite-dimensional simple modules over Uq(sl2)U_{q}(\mathfrak{sl}_{2}), and for the generic cases, we obtain direct sum decomposition formulas for them, which are similar to the well-known Clebsch–Gordan formula for tensor products between finite-dimensional weight modules over Uq(sl2)U_{q}(\mathfrak{sl}_{2}).
We also investigate the tensor products of the C[K±1]\mathbb{C}[K^{\pm 1}]-free modules with finite-dimensional simple modules over Uq(sl2)U_{q}(\mathfrak{sl}_{2}), and for the generic cases, we obtain direct sum decomposition formulas for them, which are similar to the well-known Clebsch–Gordan formula for tensor products between finite-dimensional weight modules over Uq(sl2)U_{q}(\mathfrak{sl}_{2}).
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10.1109/tgrs.2021.3092433
Based on the extracted features by the feature extraction module (FEM) and the central information of ships, AR²Det adopts two simple modules, ship detector (SDet) and center detector (CDet), to generate and improve the detection results, respectively.
Based on the extracted features by the feature extraction module (FEM) and the central information of ships, AR²Det adopts two simple modules, ship detector (SDet) and center detector (CDet), to generate and improve the detection results, respectively.
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10.1080/00927872.2021.1888963
Specifically, in a particular class of these rings, which have only two non-isomorphic simple modules, by means of the strong preinjective partition of R-ind, we enumerate all idempotent preradicals, all radicals and all torsion theories, and we also give a description of the structure of all preradicals.
Specifically, in a particular class of these rings, which have only two non-isomorphic simple modules, by means of the strong preinjective partition of R-ind, we enumerate all idempotent preradicals, all radicals and all torsion theories, and we also give a description of the structure of all preradicals.
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10.1093/imrn/rnab159
These representations are quotients of induced modules over the affine Kac–Moody algebra $\widehat{\mathfrak{s}\mathfrak{l}}_{n+1} $ and include in particular all admissible simple highest weight modules and all simple modules induced from $\mathfrak{s}\mathfrak{l}_2$.
These representations are quotients of induced modules over the affine Kac–Moody algebra $\widehat{\mathfrak{s}\mathfrak{l}}_{n+1} $ and include in particular all admissible simple highest weight modules and all simple modules induced from $\mathfrak{s}\mathfrak{l}_2$.
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10.1142/s021949882250236x
showed that every ring has a p-poor module (that is a module whose projectivity domain consists precisely of the semisimple modules).
showed that every ring has a p-poor module (that is a module whose projectivity domain consists precisely of the semisimple modules).
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10.1109/TASLP.2021.3078640
In this paper, we propose two simple modules, group communication and context codec, that can be easily applied to a wide range of architectures to jointly decrease the model size and complexity without sacrificing the performance.
In this paper, we propose two simple modules, group communication and context codec, that can be easily applied to a wide range of architectures to jointly decrease the model size and complexity without sacrificing the performance.
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10.29350/JOPS.2021.26.1.1210
In this paper, we introduce and investigate the notion of projection invariant semisimple modules.
In this paper, we introduce and investigate the notion of projection invariant semisimple modules.
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10.2140/pjm.2021.312.421
In the paper, we describe the Drinfel’d double structure of the n-rank Taft algebra and all of its simple modules, and then endow its R-matrices with an application to knot invariants.
In the paper, we describe the Drinfel’d double structure of the n-rank Taft algebra and all of its simple modules, and then endow its R-matrices with an application to knot invariants.
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10.1142/S0219498822502048
Zhao, Finite-dimensional simple modules over generalized Heisenberg algebras, Linear Algebra Appl.
Zhao, Finite-dimensional simple modules over generalized Heisenberg algebras, Linear Algebra Appl.
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10.1007/s10468-021-10080-8
In the double quantum affine case, we show that simple weight-finite modules are classified by their ($t$-dominant) highest $t$-weight spaces, a family of simple modules over the subalgebra $\ddot{\mathrm{U}}_q^0(\mathfrak a_1)$ of $\ddot{\mathrm{U}}_q(\mathfrak a_1)$ which is conjecturally isomorphic to a split extension of the elliptic Hall algebra.
In the double quantum affine case, we show that simple weight-finite modules are classified by their ($t$-dominant) highest $t$-weight spaces, a family of simple modules over the subalgebra $\ddot{\mathrm{U}}_q^0(\mathfrak a_1)$ of $\ddot{\mathrm{U}}_q(\mathfrak a_1)$ which is conjecturally isomorphic to a split extension of the elliptic Hall algebra.
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10.1007/s10468-021-10100-7
For those deformations that satisfy a certain non-degeneracy condition, we describe the structure of certain simple modules of the deformations of the subcharacter algebra of a finite group.
For those deformations that satisfy a certain non-degeneracy condition, we describe the structure of certain simple modules of the deformations of the subcharacter algebra of a finite group.
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10.1007/s10468-021-10098-y
As an application, we show that blocks of both the classical and quantum Schur algebras S(2,r) and Sq(2,r) in characteristic p > 0 are Morita equivalent as quasi-hereditary algebras to their Ringel duals if they contain 2pk simple modules for some k.
As an application, we show that blocks of both the classical and quantum Schur algebras S(2,r) and Sq(2,r) in characteristic p > 0 are Morita equivalent as quasi-hereditary algebras to their Ringel duals if they contain 2pk simple modules for some k.
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10.1063/5.0051641
We also give a classification of simple modules that decompose into a direct sum of simple finite-dimensional sl2-modules with finite multiplicities.
We also give a classification of simple modules that decompose into a direct sum of simple finite-dimensional sl2-modules with finite multiplicities.
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10.1007/978-3-030-21792-1_5
We start by describing the Brauer tree, a combinatorial object that encodes first the decomposition matrix of the block, then Ext1 between simple modules in the block, and indeed the Morita equivalence type of the block (but not the source algebra).
We start by describing the Brauer tree, a combinatorial object that encodes first the decomposition matrix of the block, then Ext1 between simple modules in the block, and indeed the Morita equivalence type of the block (but not the source algebra).
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10.1112/jlms.12341
We prove the geometric $q$-character formula conjectured by Hernandez and Leclerc in types $\mathbb{A}$ and $\mathbb{B}$ for a class of simple modules called snake modules introduced by Mukhin and Young.
We prove the geometric $q$-character formula conjectured by Hernandez and Leclerc in types $\mathbb{A}$ and $\mathbb{B}$ for a class of simple modules called snake modules introduced by Mukhin and Young.
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10.1142/s0219498821400016
Then, we determine those simple modules that give rise to finite-dimensional Nichols algebras for the case $n=2$.
Then, we determine those simple modules that give rise to finite-dimensional Nichols algebras for the case $n=2$.
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10.1142/s0129167x19500708
We construct two functors which transform simple restricted modules with nonzero levels over the standard affine algebras into simple modules over the three-point affine algebras of genus zero.
We construct two functors which transform simple restricted modules with nonzero levels over the standard affine algebras into simple modules over the three-point affine algebras of genus zero.
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10.1109/ACCESS.2019.2934718
Three basic simple modules allows to achieve complex models for a real mine.
Three basic simple modules allows to achieve complex models for a real mine.
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10.1007/978-3-030-32906-8_3
In particular, we show the Heisenberg vertex operator algebra gives an example of when the level one Zhu algebra, and in fact all its higher level Zhu algebras, do not provide new indecomposable non simple modules for the vertex operator algebra beyond those detected by the level zero Zhu algebra.
In particular, we show the Heisenberg vertex operator algebra gives an example of when the level one Zhu algebra, and in fact all its higher level Zhu algebras, do not provide new indecomposable non simple modules for the vertex operator algebra beyond those detected by the level zero Zhu algebra.
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10.1007/978-3-030-21792-1_9
The first section deals with defining characteristic representations, introducing highest weight modules, Weyl modules, and building up to the Lusztig conjecture, with a diversion into Ext1 between simple modules for the algebraic group and the finite group.
The first section deals with defining characteristic representations, introducing highest weight modules, Weyl modules, and building up to the Lusztig conjecture, with a diversion into Ext1 between simple modules for the algebraic group and the finite group.
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10.15446/recolma.v53nsupl.84006
EnglishThe paper is devoted to the study of graded-simple modules and gradings on simple modules over finite-dimensional simple Lie algebras.
EnglishThe paper is devoted to the study of graded-simple modules and gradings on simple modules over finite-dimensional simple Lie algebras.
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10.1016/j.jalgebra.2020.02.036
We give new improved bounds for the dominant dimension of Nakayama algebras and use those bounds to give a classification of Nakayama algebras with $n$ simple modules that are higher Auslander algebras with global dimension at least $n$.
We give new improved bounds for the dominant dimension of Nakayama algebras and use those bounds to give a classification of Nakayama algebras with $n$ simple modules that are higher Auslander algebras with global dimension at least $n$.
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10.4310/MRL.2019.V26.N2.A5
We study the problem of indecomposability of translations of simple modules in the principal block of BGG category O for sl(n), as conjectured in [KiM1].
We study the problem of indecomposability of translations of simple modules in the principal block of BGG category O for sl(n), as conjectured in [KiM1].
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10.1016/j.optcom.2018.09.008
The notion of (semi)bricks, regarded as a generalization of (semi)simple modules, appeared in a paper of Ringel in 1976.
The notion of (semi)bricks, regarded as a generalization of (semi)simple modules, appeared in a paper of Ringel in 1976.
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10.1016/j.aim.2020.107172
Thus, once a formula for the characters of the indecomposable tilting $G$-modules has been found, a formula for the simple modules has been also.
Thus, once a formula for the characters of the indecomposable tilting $G$-modules has been found, a formula for the simple modules has been also.
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10.5772/INTECHOPEN.82309
Assume A is a basic connected and triangular algebra with n pairwise non-isomorphic simple modules.
Assume A is a basic connected and triangular algebra with n pairwise non-isomorphic simple modules.
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10.1515/jgth-2019-0130
This generalises a result by Navarro for simple modules over finite p-solvable groups, which is the main motivation for this note.
This generalises a result by Navarro for simple modules over finite p-solvable groups, which is the main motivation for this note.
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10.3906/MAT-1808-50
Furthermore, using these concepts, we characterize some classical modules such as simple modules, S -Noetherian modules, and torsion-free modules.
Furthermore, using these concepts, we characterize some classical modules such as simple modules, S -Noetherian modules, and torsion-free modules.
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10.20527/EPSILON.V12I2.314
Keywords : Leavitt path algebra, Graph 𝐴𝐴~, Chen simple modules, Prime modules.
Keywords : Leavitt path algebra, Graph 𝐴𝐴~, Chen simple modules, Prime modules.
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10.2140/ant.2020.14.1613
We discuss the classification of strongly regular vertex operator algebras (VOAs) with exactly three simple modules whose character vector satisfies a monic modular linear differential equation with irreducible monodromy.
We discuss the classification of strongly regular vertex operator algebras (VOAs) with exactly three simple modules whose character vector satisfies a monic modular linear differential equation with irreducible monodromy.
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10.1112/jlms.12176
The simple objects of these categories are tensor modules as in the previously studied category, however, the choice of k provides more flexibility of nonsimple modules.
The simple objects of these categories are tensor modules as in the previously studied category, however, the choice of k provides more flexibility of nonsimple modules.
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10.2140/involve.2019.12.1369
A complete description of simple modules over $R$ is obtained by using the results of Irving and Gerritzen.
A complete description of simple modules over $R$ is obtained by using the results of Irving and Gerritzen.
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10.1109/ICRA.2019.8793663
Previous work on dynamic robot morphology has focused on simulation, combining simple modules, or switching between locomotion modes.
Previous work on dynamic robot morphology has focused on simulation, combining simple modules, or switching between locomotion modes.
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10.1016/J.IJDRR.2018.09.007
The approach is based on a combination of three simple modules: 1) flood frequency analysis (frequency and peak discharge), 2) estimation of inundation depth, and 3) damage and loss estimation.
The approach is based on a combination of three simple modules: 1) flood frequency analysis (frequency and peak discharge), 2) estimation of inundation depth, and 3) damage and loss estimation.
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10.1080/00927872.2019.1570233
We describe the formal characters of some Weyl modules for simply connected and semisimple algebraic groups of type Dl over an algebraically closed field of characteristic where h is the Coxeter number, in the terms of the formal characters of simple modules.
We describe the formal characters of some Weyl modules for simply connected and semisimple algebraic groups of type Dl over an algebraically closed field of characteristic where h is the Coxeter number, in the terms of the formal characters of simple modules.
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10.1080/00927872.2018.1477951
In previous work by the author, a class of finite-dimensional semisimple Hopf algebras was considered with respect to the question under what condition all but one isomorphism class of simple modules are one-dimensional.
In previous work by the author, a class of finite-dimensional semisimple Hopf algebras was considered with respect to the question under what condition all but one isomorphism class of simple modules are one-dimensional.
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10.1007/s00209-020-02496-7
We explain how this induces an isomorphism between the monoid of dominant monomials, used to parameterize simple modules, and a quotient of the monoid of rectangular semistandard Young tableaux.
We explain how this induces an isomorphism between the monoid of dominant monomials, used to parameterize simple modules, and a quotient of the monoid of rectangular semistandard Young tableaux.
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10.24330/IEJA.504139
We investigate integral forms of certain simple modules over group algebras in characteristic 0 whose $p$-modular reductions have precisely three composition factors.
We investigate integral forms of certain simple modules over group algebras in characteristic 0 whose $p$-modular reductions have precisely three composition factors.
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