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.

引用

页码：1 / 27

页数：26

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