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math.AC2009
Universal Enveloping Algebras of Lie Antialgebras
Séverine Leidwanger, Sophie Morier-Genoud
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 pro…
math.AC2009
Simple graded commutative algebras
Sophie Morier-Genoud, Valentin Ovsienko
We study the notion of -graded commutative algebra for an arbitrary abelian group . The main examples are the Clifford algebras already treated by Albuquerque and Majid. We p…