Operads of compatible structures and weighted partitions |
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Authors: | Henrik Strohmayer |
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Institution: | Department of Mathematics, Stockholm University, 106 91 Stockholm, Sweden |
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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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Keywords: | 18D50 05E25 18A30 |
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