Algebra Structures on Hom(C,L)

Details Algebra Structures on Hom(C,L) Algebra Structures on Hom(C,L)

1999-06-23

arxiv.org/abs/math/9906157v1

Communications in Algebra, 28(11), 5481-5501 (2000)

Mathematics

Quantum Algebra

Scientific paper

We consider the space of linear maps from a coassociative coalgebra C into a Lie algebra L. Unless C has a cocommutative coproduct, the usual symmetry properties of the induced bracket on Hom(C,L) fail to hold. We define the concept of twisted domain (TD) algebras in order to recover the symmetries and also construct a modified Chevalley-Eilenberg complex in order to define the cohomology of such algebras.

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