Gerstenhaber structure and Deligne's conjecture for Loday algebras

Details Gerstenhaber structure and Deligne's conjecture for Loday algebras Gerstenhaber structure and Deligne's conjecture for Loday algebras

2006-06-08

arxiv.org/abs/math/0606202v1

Journal of Pure and Applied Algebra 209 (2007), 739-752.

Mathematics

Rings and Algebras

To appear in J. Pure Applied Algebra

Scientific paper

A method for establishing a Gerstenhaber algebra structure on the cohomology
of Loday-type algebras is presented. This method is then applied to dendriform
dialgebras and three types of trialgebras introduced by Loday and Ronco. Along
the way, our results are combined with a result of McClure-Smith to prove an
analogue of Deligne's conjecture for Loday algebras.

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