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Toda systems and exponents of simple Lie groups [PDF]
Bulletin des Sciences Mathématiques, 2001 The authors study some aspects of the Bogoyavlensky Toda systems of \(A_n\), \(B_n\) and \(C_n\) types. The results include master symmetries, recursion operators, higher Poisson brackets and invariants presented both in Flaschka's and in natural coordinates.
Joana M. Nunes da Costa +1 more
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GROUP GRADINGS ON FINITARY SIMPLE LIE ALGEBRAS [PDF]
International Journal of Algebra and Computation, 2012 We classify, up to isomorphism, all gradings by an arbitrary abelian group on simple finitary Lie algebras of linear transformations (special linear, orthogonal and symplectic) on infinite-dimensional vector spaces over an algebraically closed field of characteristic different from 2.
Mikhail Kochetov +3 more
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Orthogonal Polynomials of Compact Simple Lie Groups [PDF]
International Journal of Mathematics and Mathematical Sciences, 2011 Recursive algebraic construction of two infinite families of polynomials in n variables is proposed as a uniform method applicable to every semisimple Lie group of rank n.
Maryna Nesterenko +2 more
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Taut representations of compact simple Lie groups [PDF]
Illinois Journal of Mathematics, 2008 In this paper we classify the reducible representations of compact simple Lie groups all of whose orbits are tautly embedded in Euclidean space with respect to Z_2 coefficients.
Cláudio Gorodski
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On discretization of tori of compact simple Lie groups [PDF]
Journal of Physics A: Mathematical and Theoretical, 2009 22 pages, 6 ...
Jiří Hrivnák, J. Patera
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On simple groups associated with the real simple Lie algebras [PDF]
Tohoku Mathematical Journal, 1962 Eiichi Abe
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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 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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