paper

Associator dependent algebras and Koszul duality

arXiv:2203.11142 · doi:10.1007/s10231-022-01278-8

Abstract

We resolve a ten year old open question of Loday of describing Koszul operads that act on the algebra of octonions. In fact, we obtain the answer by solving a more general classification problem: we find all Koszul operads among those encoding associator dependent algebras.

arXiv comment21 pages

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