English

Completing the operadic butterfly

Rings and Algebras 2007-06-13 v1 Quantum Algebra

Abstract

We complete a certain diagram (the operadic butterfly) of categories of algebras involving Com, As, and Lie by constructing a type of algebras which have 4 generating operations and 16 relations. The associated operad is self-dual for Koszul duality.

Keywords

Cite

@article{arxiv.math/0409183,
  title  = {Completing the operadic butterfly},
  author = {Jean-Louis Loday},
  journal= {arXiv preprint arXiv:math/0409183},
  year   = {2007}
}