A generalization of Scheunert's Theorem on cocycle twisting of color Lie algebras
Abstract
A classical theorem of Scheunert on
G
-color Lie algebras, asserts in the case of finitely generated abelian groups, one can twist the algebra structure and the commutation bicharacter on
G
by a 2-cocycle twist to a super-Lie
G
graded, algebra. In this paper we show that this can be done for an arbitrary group.