Completing the operadic butterfly
arXiv:math/0409183
Abstract
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.
References in corpus (1)
Cited by in corpus (6)
- Splitting of operations, Manin products and Rota-Baxter operators
- Rota-Baxter Algebras and Dendriform Algebras
- Nonsymmetric operads in combinatorics
- Replicating of binary operads, Koszul duality, Manin products and average operators
- Operads in algebraic combinatorics
- Pluriassociative and polydendriform algebras