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math.RA2026
The operad of anti-pre-Lie algebras and its Lie elements
Chengming Bai, Vladimir Dotsenko, Guilai Liu +1
We initiate a systematic operadic approach to anti-pre-Lie algebras. We study the operad controlling anti-pre-Lie algebras, its relationship to the operad of Novikov algebras and i…
math.CO2026
Binomial coefficients and the operadic butterfly
Vladimir Dotsenko, Medet Jumadildayev
We prove the conjecture of Laubie on dimensions of components of two operads completing Loday's operadic butterfly diagram. For one of these operads, the dimension of the -th co…