2 papers
math.CT2022
Rota-Baxter Lie -algebras
Shilong Zhang, Jiefeng Liu
In this paper, we introduce the notion of Rota-Baxter Lie -algebras, which is a categorification of Rota-Baxter Lie algebras. We prove that the category of Rota-Baxter Lie -a…
math.AC2020
Classification of operator extensions, monad liftings and distributive laws for differential algebras and Rota-Baxter algebras
Shilong Zhang, Li Guo, William Keigher
Generalizing the algebraic formulation of the First Fundamental Theorem of Calculus (FFTC), a class of constraints involving a pair of operators was considered in \cite{ZGK2}. For…