Universal Enveloping Algebras of Lie Antialgebras

被引：0
|
作者：
Séverine Leidwanger
Sophie Morier-Genoud
机构：
[1] Université Denis Diderot Paris 7,Institut Mathématiques de Jussieu, Théorie des groupes
[2] Université Pierre et Marie Curie Paris 6,Institut Mathématiques de Jussieu
来源：
Algebras and Representation Theory | 2012年 / 15卷
关键词：
Jordan superalgebra; Lie superalgebra; Universal enveloping algebra; 17C50; 17C70; 17B60;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Lie antialgebras is a class of supercommutative algebras recently appeared in symplectic geometry. We define the notion of enveloping algebra of a Lie antialgebra and study its properties. We show that every Lie antialgebra is canonically related to a Lie superalgebra and prove that its enveloping algebra is a quotient of the enveloping algebra of the corresponding Lie superalgebra.
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页码：1 / 27
页数：26
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