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Drinfel'd algebra deformations and the associahedra

Martin Markl, Steve Shnider

hep-tharXiv:hep-th/9312196

Abstract

We construct a cohomology theory controlling the deformations of a general Drinfel'd algebra. The picture presented here has two sides -- the combinatorial one related with the fact of the existence of a graded Lie algebra structure on the simplicial cochain complex of the associahedra, and the algebraic one related with the algebra of derivations on the bar construction.

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