7 citations · 10 across the 15 of their papers we have counts for
4 papers · 1 filter
The classical Lie-Yamaguti Yang-Baxter equation and Lie-Yamaguti bialgebras
Jia Zhao, Yu Qiao
In this paper, we develop the bialgebra theory for Lie-Yamaguti algebras. For this purpose, we exploit two types of compatibility conditions: local cocycle condition and double con…
Locally finite infinity-modules and weak Loday-Pirashvili modules over differential graded Lie algebras
Zhuo Chen, Yu Qiao, Maosong Xiang +1
Motivated by recent developments of -categorical theories related to differential graded (dg for short) Lie algebras, we develop a general framework for locally finite $\in…
Cohomology and relative Rota-Baxter-Nijenhuis structures on LieYRep pairs
Jia Zhao, Yu Qiao
A LieYRep pair consists of a Lie-Yamaguti algebra and its representation. In this paper, we establish the cohomology theory of LieYRep pairs and characterize their linear deformati…
Cohomology and deformations of Relative Rota-Baxter operators on Lie-Yamaguti algebras
Jia Zhao, Yu Qiao
In this paper, we establish the cohomology of relative Rota-Baxter operators on Lie-Yamaguti algebras via the Yamaguti cohomology. Then we use this type of cohomology to characteri…