, Volume 15, Issue 1, pp 1-27
Date: 22 Jul 2010

Universal Enveloping Algebras of Lie Antialgebras

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access


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.