Lie antialgebras: cohomology and representations

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jan 2008Embargo end date: 01 Jan 2008Publisher:AIPJournal:AIP Conference Proceedings

Authors: V. Ovsienko; Piotr Kielanowski; Anatol Odzijewicz; Martin Schlichenmaier; Theodore Voronov;

doi: 10.1063/1.3043862 , 10.48550/arxiv.0810.0114

arXiv: 0810.0114

Lie antialgebras: cohomology and representations

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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.

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

Related Organizations

Claude Bernard University Lyon 1
France
French National Centre for Scientific Research
France
Camille Jordan Institute
France

Keywords

FOS: Physical sciences, Mathematical Physics (math-ph), Mathematical Physics, 17B56, 53D99, 22E47

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