2 papers
math.CT2026
Induced structures of operated algebras with applications to multi-Novikov algebras
Li Guo, Xiaoyan Wang, Huhu Zhang
We provide a general notion of induced structures of operated algebras in the context of unary-binary operads. This notion fully captures the binary quadratic relations encoded by…
math.RA2026
General multi-Novikov algebras, multi-differential algebras and their free constructions
Xiaoyan Wang, Li Guo, Huhu Zhang
Motivated by the recent development of noncommutative Novikov algebras and multi-Novikov algebras from the study of regularity structures of stochastic PDEs, this paper gives a gen…