, Volume 15, Issue 1, pp 1-27

Universal Enveloping Algebras of Lie Antialgebras

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Abstract

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.

Presented by Alexander Kirillov.