3 papers
math.RT2023
Lusztig sheaves and integrable highest weight modules
Jiepeng Fang, Yixin Lan, Jie Xiao
We consider the localization of Lusztig's sheaves for framed quivers, and define functors $E^{(n)}_{i},F^{(n)}_{i},K^…
math.RT2023
Lie algebras arising from two-periodic projective complex and derived categories
Jiepeng Fang, Yixin Lan, Jie Xiao
Let be a finite-dimensional -algebra of finite global dimension and be the category of finitely generated right -modules. By using of the category…
math.RT2023
Sheaf realization of Bridgeland's Hall algebra of Dynkin type
Jiepeng Fang, Yixin Lan, Jie Xiao
As one of results in [6], Bridgeland realized the quantum group via the localization of Ringel-Hall algebra for the two-periodic projective complexes of quiver repre…