3 papers
math.DG2025
Deformations of Nijenhuis Lie algebras and Nijenhuis Lie algebroids
Chao Song, Kai Wang, Yuanyuan Zhang +1
This paper is the second in a series dedicated to the operadic study of Nijenhuis structures, focusing on Nijenhuis Lie algebras and Nijenhuis geometry. We introduce the concept of…
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…
math.RA2023
Deformations and cohomology theory of -family Rota-Baxter algebras of arbitrary weight
Chao Song, Kai Wang, Yuanyuan Zhang
In this paper, we firstly construct an -algebra via the method of higher derived brackets, whose Maurer-Cartan elements correspond to relative -family Rota-Baxter a…