4 papers
From homotopy Rota-Baxter algebras to Pre-Calabi-Yau and homotopy double Poisson algebras
Yufei Qin, Kai Wang
In this paper, we investigate pre-Calabi-Yau algebras and homotopy double Poisson algebras arising from homotopy Rota-Baxter structures. We introduce the notion of cyclic homotopy…
Modified Rota-Baxter operators of non-zero weight on -Lie algebras
Shuangjian Guo, Yufei Qin, Guodong Zhou
In this paper, we introduce the notion of modified Rota-Baxter operators of non-zero weight on -Lie algebras and provide some examples. Next, we give various constructions of mo…
L-algebras and their ideals: from simplicity to semidirect products
Silvia Properzi, Yufei Qin
In this paper, we investigate the ideals of semidirect products of L-algebras and the structure of simple L-algebras. We provide a precise characterization of the ideals of semidir…
Deformation theory and Koszul duality for Rota-Baxter systems
Yufei Qin, Kai Wang, Guodong Zhou
This paper investigates Rota-Baxter systems in the sense of BrzeziÅski from the perspective of operad theory. The minimal model of the Rota-Baxter system operad is constructed, eq…