Universal Enveloping Algebras of Lie Antialgebras

Details Universal Enveloping Algebras of Lie Antialgebras Universal Enveloping Algebras of Lie Antialgebras

2009-10-12

arxiv.org/abs/0910.2220v2

Mathematics

Commutative Algebra

Scientific paper

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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