Operads of compatible structures and weighted partitions
Algebraic Topology
2008-09-24 v2 Combinatorics
Abstract
In this paper we describe operads encoding two different kinds of compatibility of algebraic structures. We show that there exist decompositions of these in terms of black and white products and we prove that they are Koszul for a large class of algebraic structures by using the poset method of B. Vallette. In particular we show that this is true for the operads of compatible Lie, associative and pre-Lie algebras.
Keywords
Cite
@article{arxiv.0706.2196,
title = {Operads of compatible structures and weighted partitions},
author = {Henrik Strohmayer},
journal= {arXiv preprint arXiv:0706.2196},
year = {2008}
}