Associator dependent algebras and Koszul duality
Rings and Algebras
2022-09-26 v3 K-Theory and Homology
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.
Keywords
Cite
@article{arxiv.2203.11142,
title = {Associator dependent algebras and Koszul duality},
author = {Murray Bremner and Vladimir Dotsenko},
journal= {arXiv preprint arXiv:2203.11142},
year = {2022}
}
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21 pages