4 papers
Integro-differential rings on species and derived structures
Xing Gao, Li Guo, Markus Rosenkranz +2
In the theory of species, differential as well as integral operators are known to arise in a natural way. In this paper, we shall prove that they precisely fit together in the alge…
Lowering operators on --Schur functions and a lowering operator formula for closed --Schur functions
Yaozhou Fang, Xing Gao, Li Guo
This paper gives a systematic study of the lowering operators acting on the --Schur functions, motivated by the pivotal role played by the operators in the definition and stu…
Rota-Baxter groups with weight zero and integration on topological groups
Xing Gao, Li Guo, Zongjian Han
Rota-Baxter groups with weights have attracted quite much attention since their recent introduction, thanks to their connections with Rota-Baxter Lie algebras, factorizatio…
Compatible structures of operads by polarization, their Koszul duality and Manin products
Huhu Zhang, Xing Gao, Li Guo
Algebraic structures with multiple copies of a given type of operations interrelated by various compatibility conditions have long being studied in mathematics and mathematical phy…