Universal Enveloping Algebras of Lie Antialgebras
- First Online:
- Cite this article as:
- Leidwanger, S. & Morier-Genoud, S. Algebr Represent Theor (2012) 15: 1. doi:10.1007/s10468-010-9230-x
- 65 Views
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.