Algebras and modules
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Geometry on formal duals of algebras
A Gerstenhaber algebra is a Poisson 2-algebra, a Poisson algebra in graded vector spaces with Poisson bracket of degree -1.
A Gerstenhaber algebra is a chain complex equipped with
a symmetric product ;
a skew-symmetric bracket ;
such that associativity of and the Jacobi identity for holds and such that is a derivation of .
This is due to Cohen (1976).
Revised on January 24, 2013 12:47:45
by Urs Schreiber