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arXiv · 2203.11142

Associator dependent algebras and Koszul duality

Murray Bremner·Vladimir Dotsenko
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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.

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Murray Bremner, Vladimir Dotsenko. 2022-09-23. Associator dependent algebras and Koszul duality. https://doi.org/10.1007/s10231-022-01278-8

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