Some constructions for Jordan superalgebras with associative even part

V. N. Zhelyabin; A. S. Zakharov

doi:10.1090/spmj/1446

Some constructions for Jordan superalgebras with associative even part

V. N. Zhelyabin, A. S. Zakharov

Кафедра алгебры и математической логики ММФ

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

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Аннотация

A construction is presented that enables one to build Jordan superalgebras by using Jordan superalgebras with associative even part. This is a generalization of a known construction of the addition of an odd variable in the case of superalgebras of Jordan brackets. Previously, this construction was described for simple special Jordan algebras with associative even part.

Язык оригинала	английский
Страницы (с-по)	197-208
Число страниц	12
Журнал	St. Petersburg Mathematical Journal
Том	28
Номер выпуска	2
DOI	https://doi.org/10.1090/spmj/1446
Состояние	Опубликовано - апр 2017

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10.1090/spmj/1446

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title = "Some constructions for Jordan superalgebras with associative even part",

abstract = "A construction is presented that enables one to build Jordan superalgebras by using Jordan superalgebras with associative even part. This is a generalization of a known construction of the addition of an odd variable in the case of superalgebras of Jordan brackets. Previously, this construction was described for simple special Jordan algebras with associative even part.",

keywords = "Differential algebra, Jordan superalgebra, Poisson bracket, Projective module, Superalgebra of vector type, projective module, superalgebra of vector type, EXAMPLES, differential algebra",

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KW - Differential algebra

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KW - Poisson bracket

KW - Projective module

KW - Superalgebra of vector type

KW - projective module

KW - superalgebra of vector type

KW - EXAMPLES

KW - differential algebra

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Some constructions for Jordan superalgebras with associative even part

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