Representations of simple noncommutative Jordan superalgebras II
Yury Popov
ARTIGO
Inglês
Agradecimentos: The work is supported by the Russian Science Foundation under grant 19-71-10016
Abstract: In this article we continue the study of representations of simple finite-dimensional noncommutative Jordan superalgebras. We prove that an irreducible unital bimodule over a simple noncommutative Jordan superalgebra U of degree =2 is either an irreducible bimodule over its symmetrized...
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Abstract: In this article we continue the study of representations of simple finite-dimensional noncommutative Jordan superalgebras. We prove that an irreducible unital bimodule over a simple noncommutative Jordan superalgebra U of degree =2 is either an irreducible bimodule over its symmetrized superalgebra U ( + ) or is equal to one of its Peirce components. Applying this result, we describe irreducible finite-dimensional representations of simple noncommutative Jordan superalgebras U ( V , f , ? ) and K ( G n , A ) , completing the description of simple finite-dimensional unital bimodules over simple noncommutative Jordan superalgebras over an algebraically closed field of characteristic 0
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Fechado
Popov, Yuri, 1993-
Autor
Representations of simple noncommutative Jordan superalgebras II
Yury Popov
Representations of simple noncommutative Jordan superalgebras II
Yury Popov
Fontes
Journal of pure and applied algebra (Fonte avulsa) |