Representations of simple noncommutative Jordan superalgebras I

Autor:	Popov, Yuri, 1993
Přispěvatelé:	UNIVERSIDADE ESTADUAL DE CAMPINAS
Rok vydání:	2020
Předmět:	Jordan algebras Representation theory of nonassociative superalgebras Mathematics::Quantum Algebra Mathematics::Rings and Algebras Kronecker modules Artigo original Noncommutative Jordan superalgebra Álgebras de Jordan Mathematics::Representation Theory Módulos de Kronecker
Zdroj:	Repositório da Produção Científica e Intelectual da Unicamp Universidade Estadual de Campinas (UNICAMP) instacron:UNICAMP Repositório Institucional da Unicamp
Popis:	Agradecimentos: The author is grateful to Prof. Alexandre Pozhidaev (Sobolev Institute of Math., Russia) and Prof. Ivan Kaygorodov (UFABC, Brazil) for interest and constructive comments Abstract: In this article we begin the study of representations of simple finite-dimensional noncommutative Jordan superalgebras. In the case of degree =3 we show that any finite-dimensional representation is completely reducible and, depending on the superalgebra, quasiassociative or Jordan. Then we study representations of superalgebras and and prove the Kronecker factorization theorem for superalgebras . In the last section we use a new approach to study noncommutative Jordan representations of simple Jordan superalgebras Fechado
Databáze:	OpenAIRE
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