12 citations · 119 across the 39 of their papers we have counts for
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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…
Free -Rota-Baxter systems and Gröbner-Shirshov bases
Yuanyuan Zhang, Huhu Zhang, Xing Gao
In this paper, we propose the concept of an -Rota-Baxter system, which is a generalization of a Rota-Baxter system and an -Rota-Baxter algebra of weight zero. In the framewor…
Operated groups, differential groups and Rota-Baxter groups with an emphasis on the free objects
Xing Gao, Li Guo, Yanjun Liu +1
Groups with various types of operators, in particular the recently introduced Rota-Baxter groups, have generated renowned interest with close connections to numerical integrals, Ya…
Operator identities on Lie algebras, rewriting systems and Gröbner-Shirshov bases
Huhu Zhang, Xing Gao, Li Guo
Motivated by the pivotal role played by linear operators, many years ago Rota proposed to determine algebraic operator identities satisfied by linear operators on associative algeb…