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Signed Young Modules and Simple Specht Modules
Advances in Mathematics, 2017 By a result of Hemmer, every simple Specht module of a finite symmetric group over a field of odd characteristic is a signed Young module. While Specht modules are parametrized by partitions, indecomposable signed Young modules are parametrized by ...
Danz, Susanne, Lim, Kay Jin
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Cohomology of simple modules for sl3(k) in characteristic 3 [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 In this paper we calculate cohomology of a classical Lie algebra of type A 2 over an algebraically field k of characteristic p = 3 with coefficients in simple modules.
A.A. Ibrayeva +2 more
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Communications in Algebra, 2020 Recently, in a series of papers "simple" versions of direct-injective and direct-projective modules have been investigated. These modules are termed as "simple-direct-injective" and "simple-direct-projective", respectively. In this paper, we give a complete characterization of the aforementioned modules over the ring of integers and over semilocal ...
Buyukasik, Engin +2 more
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Finite Dimensional Simple Modules over Some GIM Lie Algebras
Mathematics, 2022 GIM Lie algebras are the generalizations of Kac–Moody Lie algebras. However, the structures of GIM Lie algebras are more complex than the latter, so they have encountered many new difficulties to study their representation theory.
Limeng Xia, Dong Liu
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On Cohomology of Simple Modules for Modular Classical Lie Algebras
Axioms, 2022 In this article, we obtain some cohomology of classical Lie algebras over an algebraically closed field of characteristic p>h, where h is a Coxeter number, with coefficients in simple modules.
Sherali S. Ibraev +2 more
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Simple Restricted Modules for the Deformed 𝔟𝔪𝔰3 Algebra
Mathematics, 2023 In this paper, we construct a large class of simple restricted modules over the deformed 𝔟𝔪𝔰3 algebra ℬ, which contain the highest weight modules and Whittaker modules.
Qiu-Fan Chen
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On simple modules with singular highest weights for so2l+1(K)
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 In this paper, we study formal characters of simple modules with singular highest weights over classical Lie algebras of type B over an algebraically closed field of characteristic p ≥ h, where h is the Coxeter number. Assume that the highest weights of
Sh.Sh. Ibraev +2 more
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Strongly Maximal Submodules with A Study of Their Influence on Types of Modules
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2022 Let S be a commutative ring with identity, and A is an S-module. This paper introduced an important concept, namely strongly maximal submodule. Some properties and many results were proved as well as the behavior of that concept with its localization was
Fatima M. Mohialdeen, Buthyna N. Shihab
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Silting Complexes and Partial Tilting Modules
Mathematics, 2020 It is well known that a partial tilting module may not be completed to a tilting module. However, it is still unknown whether a partial tilting module can be completed to a silting complex. The affirmative answer to this question will give an affirmative
Jiaqun Wei
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Cohomology of simple modules for algebraic groups
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 In this paper, we consider questions related to the study of the cohomology of simple and simply connected algebraic groups with coefficients in simple modules. There are various calculating methods for them. One of the effective methods is to study the
Sh.Sh. Ibraev +2 more
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