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arxiv: 0810.0114 · v1 · submitted 2008-10-01 · 🧮 math-ph · math.MP

Lie antialgebras: cohomology and representations

classification 🧮 math-ph math.MP
keywords cohomologyrepresentationsalgebraalgebraicalgebrasantialgebrasarxivassociative
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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.

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