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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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On simple endotrivial modules [PDF]
Bulletin of the London Mathematical Society, 2010 We show that when G is a finite group which contains an elementary Abelian subgroup of order p^2 and k is an algebraically closed field of characteristic p, then the study of simple endotrivial kG-modules which are not monomial may be reduced to the case
Robinson, Geoffrey R.
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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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On simple modules with singular highest weights for so2l+1(K) [PDF]
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.
Sh.Sh. Ibraev +2 more
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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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On Restricted Cohomology of Modular Classical Lie Algebras and Their Applications
Mathematics, 2022 In this paper, we study the restricted cohomology of Lie algebras of semisimple and simply connected algebraic groups in positive characteristics with coefficients in simple restricted modules and their applications in studying the connections between ...
Sherali S. Ibraev +2 more
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On Simple GP – Injective Modules [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2012 In this paper, we study rings whose simple right R-module are GP-injective. We prove that ring whose simple right R-module is GP-injective it will be right -weakly regular ring.
Mohammed Youns, Najlaa Jassim
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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 Singular N-Flat Modules [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2013 Let I be a right ideal of a ring R , then R/I is right N-flat module if and only if for each , there exists and a positive integer n such that and .In this paper, we first introduce and characterize rings whose every simple singular right R-module is ...
Raida Mahmood, Dina Hadid
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Classification of simple Gelfand–Tsetlin modules of 𝔰𝔩(3)
Bulletin of Mathematical Sciences, 2021 We provide a classification and an explicit realization of all simple Gelfand–Tsetlin modules of the complex Lie algebra 𝔰𝔩(3). The realization of these modules, including those with infinite-dimensional weight spaces, is given via regular and derivative
Vyacheslav Futorny +2 more
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