Yixin Lan

activity

20212026

collaborators

Showing 2023Show all

4 papers · 1 filter

math.RT2023

Lusztig sheaves and tensor products of integrable highest weight modules

Jiepeng Fang, Yixin Lan

By introducing $N$ -framed quivers, we define the localization of Lusztig's sheaves for $N$ -framed quivers and functors $E_{i}^{(n)}, F_{i}^{(n)}, K_{i}^{\pm}$ for localizations. This…

math.RT2023

Lusztig sheaves and integrable highest weight modules

Jiepeng Fang, Yixin Lan, Jie Xiao

We consider the localization $Q_{V, W} / N_{V}$ 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 $A$ be a finite-dimensional $C$ -algebra of finite global dimension and $A$ be the category of finitely generated right $A$ -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 $U_{v}$ via the localization of Ringel-Hall algebra for the two-periodic projective complexes of quiver repre…