The kantor construction of jordan superalgebras
作者:
King Daniel,
Mccrimmon Kevin,
期刊:
Communications in Algebra
(Taylor Available online 1992)
卷期:
Volume 20,
issue 1
页码: 109-126
ISSN:0092-7872
年代: 1992
DOI:10.1080/00927879208824334
出版商: Marcel Dekker, Inc.
数据来源: Taylor
摘要:
Superalgebras J(F) of finite or infinite dimension obtained by the Kantor doubling process from dot-bracket superalgebras (F, ., x ) with a supercommutative, associative product . and a superbracket x are examined. Such a superalgebra is Jordan if and only if x is a Jordan superbracket and is simple if and only if (F, ., x) is simple. Superalgebras J(F) of vector typewhere D is a derivation of (F, .)) are special. Superalgebras J(F) for poisson brackets F on even and odd variables are exceptional except in the case of a single odd variable and no even variables.
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