English

Gerstenhaber structure and Deligne's conjecture for Loday algebras

Rings and Algebras 2007-05-23 v1 Algebraic Topology

Abstract

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.

Keywords

Cite

@article{arxiv.math/0606202,
  title  = {Gerstenhaber structure and Deligne's conjecture for Loday algebras},
  author = {Donald Yau},
  journal= {arXiv preprint arXiv:math/0606202},
  year   = {2007}
}

Comments

To appear in J. Pure Applied Algebra