Operads of compatible structures and weighted partitions
2008 (English)In: Journal of Pure and Applied Algebra, ISSN 0022-4049, Vol. 212, no 11, 2522- p.Article in journal (Refereed) Published
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.
Place, publisher, year, edition, pages
2008. Vol. 212, no 11, 2522- p.
operad, compatible, Koszul, poset, partitions, fiber product
Mathematics Discrete Mathematics
IdentifiersURN: urn:nbn:se:su:diva-12628DOI: doi:10.1016/j.jpaa.2008.04.009ISI: 000259052600013OAI: oai:DiVA.org:su-12628DiVA: diva2:179148