Results 1 to 10 of about 1,578,793 (191)

Cohomology of simple modules for sl3(k) in characteristic 3 [PDF]

open access: yesҚарағанды 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
doaj   +3 more sources

On Cohomology of Simple Modules for Modular Classical Lie Algebras

open access: yesAxioms, 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
doaj   +1 more source

Einstein warped product spaces on Lie groups

open access: yesCubo, 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
doaj   +1 more source

On Restricted Cohomology of Modular Classical Lie Algebras and Their Applications

open access: yesMathematics, 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
doaj   +1 more source

Lie algebra classification for the Chazy equation and further topics related with this algebra.

open access: yesRevista 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
doaj   +1 more source

On simple modules with singular highest weights for so2l+1(K)

open access: yesҚарағанды 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
doaj   +1 more source

Cohomology of simple modules for algebraic groups

open access: yesҚарағанды 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
doaj   +1 more source

On Reidemeister torsion of flag manifolds of compact semisimple Lie groups

open access: yesAIMS 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
doaj   +1 more source

The maximal size of a minimal generating set

open access: yesForum 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
doaj   +1 more source

P-adic lattices are not K\"ahler groups [PDF]

open access: yesÉpijournal 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
doaj   +1 more source

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