2 papers
math.QA2022
A Poincaré-Birkhoff-Witt theorem for the universal enveloping algebra of a Rota-Baxter Lie algebra
Zhi-Cheng Zhu, Xing Gao, Li Guo +1
Rota-Baxter associative algebras and Rota-Baxter Lie algebras are both important in mathematics and mathematical physics, with the former a basic structure in quantum field renorma…
math.RT2017
Representations of Polynomial Rota-Baxter Algebras
Li Qiao, Jun Pei
A Rota--Baxter operator is an algebraic abstraction of integration, which is the typical example of a weight zero Rota-Baxter operator. We show that studying the modules over the p…