Lie antialgebras: cohomology and representations

Valentin Ovsienko (1)

1 ICJ - Institut Camille Jordan

We describe the main algebraic and geometric properties of the class of algebras introduced in [arXiv:0705.1629]. We discuss their origins in symplectic geometry and associative algebra, and the notions of cohomology and representations. We formulate classification theorems and give a number of examples.

Mots clés: Lie antialgebras; Lie superalgebras; cohomology; symplectic geometry

Domaines: Physique mathématique [math-ph]

Valentin Ovsienko. Lie antialgebras: cohomology and representations. XXVII Workshop, Geometrical Methods in Mathematical Physics., Jun 2008, Bialowieza, Poland. ⟨hal-00326033⟩