3 papers
math.RT2025
Some functors preserving exceptionality
Dajun Liu, Hanpeng Gao, Yu-Zhe Liu
We constructed some tensor functors that send each exceptional sequence in a module category to another exceptional sequence in another module category by using split extensions an…
math.CA2024
Normed modules and The Stieltjes integrations of functions defined on finite-dimensional algebras
Hanpeng Gao, Shengda Liu, Yu-Zhe Liu +1
We define integrals for functions on finite-dimensional algebras, adapting methods from Leinster's research. This paper discusses the relationships between the integrals of functio…
math.RT2024
ICE-closed subcategories and epibricks over one-point extensions
Xin Li, Hanpeng Gao
Let be the one-point extension algebra of by an -module . We proved that every ICE-closed subcategory in can be extended to be some ICE-closed subcategories i…