Results 11 to 20 of about 18,875 (269)
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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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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Algebraic constructions of group divisible designs
Examples and Counterexamples, 2023 Some series of Group divisible designs using generalized Bhaskar Rao designs over Dihedral, Symmetric and Alternating groups are obtained.
Shyam Saurabh, Kishore Sinha
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The matrix Jacobson graph of finite commutative rings
Electronic Journal of Graph Theory and Applications, 2022 The notion of the matrix Jacobson graph was introduced in 2019. Let R be a commutative ring and J(R) be the Jacobson radical of ring R. The matrix Jacobson graph of ring R size m × n, denoted 𝔍(R)m × n, is defined as a graph where the vertex set is Rm ...
Siti Humaira +3 more
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Group Algebras of Finite Groups as Lie Algebras [PDF]
Communications in Algebra, 2010 We consider the natural Lie algebra structure on the (associative) group algebra of a finite group $G$, and show that the Lie subalgebras associated to natural involutive antiautomorphisms of this group algebra are reductive ones. We give a decomposition in simple factors of these Lie algebras, in terms of the ordinary representations of $G$.
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Algebraic subgroups of the plane Cremona group over a perfect field [PDF]
Épijournal de Géométrie Algébrique, 2021 We show that any infinite algebraic subgroup of the plane Cremona group over a perfect field is contained in a maximal algebraic subgroup of the plane Cremona group.
Julia Schneider, Susanna Zimmermann
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Avoider-enforcer star games [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 Combinatorics
Andrzej Grzesik +5 more
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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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On the GAGA principle for algebraic affine hypersurfaces
Comptes Rendus. Mathématique, 2022 For any complete $\mathbb{C}$-algebraic variety Y and its underlying compact $\mathbb{C}$-analytic space $\mathcal{Y}$, it follows from the well known GAGA principle that the algebraic Picard group $Pic(Y)$ and the analytic Picard group $\mathbb{P}\!ic ...
Tan, Vo Van
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GENERALISING GROUP ALGEBRAS [PDF]
Journal of the London Mathematical Society, 2005 This paper has been ...
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