Results 11 to 20 of about 1,803,467 (337)

On discretization of tori of compact simple Lie groups [PDF]

open access: greenJournal of Physics A: Mathematical and Theoretical, 2009
22 pages, 6 ...
Jiří Hrivnák, J. Patera
openalex   +5 more sources

A spectral gap theorem in simple Lie groups [PDF]

open access: yesInventiones mathematicae, 2014
We establish the spectral gap property for dense subgroups generated by algebraic elements in any compact simple Lie group, generalizing earlier results of Bourgain and Gamburd for unitary groups.
Y. Benoist, N. Saxcé
semanticscholar   +4 more sources

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 LIE GROUPS OF INFINITE DIMENSION I.

open access: bronzeMemoirs of the Faculty of Science, Kyushu University. Series A, Mathematics, 1964
Satoru Yamaguchi
openalex   +5 more sources

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

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