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Operads of compatible structures and weighted partitions
Stockholm University, Faculty of Science, Department of Mathematics.
2008 (English)In: Journal of Pure and Applied Algebra, ISSN 0022-4049, Vol. 212, no 11, 2522- p.Article in journal (Refereed) Published
Abstract [en]

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.
Keyword [en]
operad, compatible, Koszul, poset, partitions, fiber product
National Category
Mathematics Discrete Mathematics
Identifiers
URN: urn:nbn:se:su:diva-12628DOI: doi:10.1016/j.jpaa.2008.04.009ISI: 000259052600013OAI: oai:DiVA.org:su-12628DiVA: diva2:179148
Available from: 2008-11-07 Created: 2008-11-07 Last updated: 2011-01-10Bibliographically approved

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