English

Lie antialgebras: cohomology and representations

Mathematical Physics 2008-12-18 v1 math.MP

Abstract

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.

Keywords

Cite

@article{arxiv.0810.0114,
  title  = {Lie antialgebras: cohomology and representations},
  author = {Valentin Ovsienko},
  journal= {arXiv preprint arXiv:0810.0114},
  year   = {2008}
}

Comments

11 pages, XXVII Workshop, Geometrical Methods in Mathematical Physics., Bialowieza : Pologne (2008)