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arxiv: math/0409183 · v1 · submitted 2004-09-10 · 🧮 math.RA · math.QA

Completing the operadic butterfly

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keywords algebrasbutterflyoperadicassociatedcategoriescertaincompletecompleting
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We complete a certain diagram (the operadic butterfly) of categories of algebras involving Com, As, and Lie by constructing a type of algebras which have 4 generating operations and 16 relations. The associated operad is self-dual for Koszul duality.

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