Results 1 to 10 of about 1,578,942 (334)
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 A2 over an algebraically field k of characteristic p = 3 with coefficients in simple modules. To describe their structure we will consider them as modules over an algebraic
A.A. Ibrayeva
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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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Einstein warped product spaces on Lie groups
Cubo, 2022 We consider a compact Lie group with bi-invariant metric, coming from the Killing form. In this paper, we study Einstein warped product space, $M = M_1 \times_{f_1} M_2$ for the cases, $(i)$ $M_1$ is a Lie group $(ii)$ $M_2$ is a Lie group and $(iii ...
Buddhadev Pal +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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Lie algebra classification for the Chazy equation and further topics related with this algebra.
Revista Politécnica, 2021 It is known that the classification of the Lie algebras is a classical problem. Due to Levi’s Theorem the question can be reduced to the classification of semi-simple and solvable Lie algebras.
Yeisson Alexis Acevedo-Agudelo +3 more
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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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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 Reidemeister torsion of flag manifolds of compact semisimple Lie groups
AIMS Mathematics, 2020 In this paper we calculate Reidemeister torsion of flag manifold $K/T$ of compact semi-simple Lie group $K=SU_{n+1}$ using Reidemeister torsion formula and Schubert calculus, where $T$ is maximal torus of $K$. We find that this number is 1.
Cenap Özel +5 more
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The maximal size of a minimal generating set
Forum of Mathematics, Sigma, 2023 A generating set for a finite group G is minimal if no proper subset generates G, and $m(G)$ denotes the maximal size of a minimal generating set for G. We prove a conjecture of Lucchini, Moscatiello and Spiga by showing that there exist $a,b>
Scott Harper
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P-adic lattices are not K\"ahler groups [PDF]
Épijournal de Géométrie Algébrique, 2019 In this note we show that any lattice in a simple p-adic Lie group is not the fundamental group of a compact Ka\"hler manifold, as well as some variants of this result.
Bruno Klingler
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