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.
21 pages