Article ID Journal Published Year Pages File Type
4597956 Journal of Pure and Applied Algebra 2008 13 Pages PDF
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.
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Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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