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math.KT2026
Deformations and homotopy theory of Rota-Baxter Lie algebras
Jun Chen, Kai Wang, Guodong Zhou
For Rota-Baxter Lie algebras, a homotopy cooperad is exhibited, whose cobar construction is shown to be the minimal model of the operad of Rota-Baxter Lie algebras by using algebra…
math.KT2026
A Symmetric Counterexample to the Snashall--Solberg Conjecture
Kai Wang, Guodong Zhou
It is shown that the trivial extension of the Xu--Snashall algebra is a symmetric counterexample to the Snashall--Solberg conjecture, which states that the Hochschild cohomology ri…
math.KT2024
Deformations and homotopy theory of Nijenhuis associative algebras
Chao Song, Kai Wang, Yuanyuan Zhang +1
This paper is the first in a series of works devoted to an operadic study of Nijenhuis structures, focusing on Nijenhuis associative algebras. We introduce the concept of homotopy…