You-Hung Hsu

activity

20212025

collaborators

3 papers

math.RT2025

$0$ -affine quantum groups as K-theoretic Hall algebras

You-Hung Hsu

In this note, we show that the positive part of Arkhipov-Mazin's $0$ -affine quantum group can be realized as the K-theoretic Hall algebra of the type $A$ Dynkin quiver. We then con…

math.RT2024

On the Springer correspondence for wreath products

You-Hung Hsu, Chun-Ju Lai

We establish a Bruhat decomposition indexed by the wreath product $Σ_{m} ≀ Σ_{d}$ between two symmetric groups -- note that $Σ_{m} ≀ Σ_{d}$ is not a Coxeter group in general. We show tha…

math.RT2021

Exceptional collections, t-structures, and categorical action of shifted $q = 0$ affine algebra, $sl_{2}$ case

You-Hung Hsu

In this article, we show that the categorical action of the shifted $q = 0$ affine algebra can be used to construct (or induce) t-structures on the weight categories. The main idea i…

0-affine quantum groups as K-theoretic Hall algebras

On the Springer correspondence for wreath products

Exceptional collections, t-structures, and categorical action of shifted q=0 affine algebra, sl2​ case

$0$ -affine quantum groups as K-theoretic Hall algebras

Exceptional collections, t-structures, and categorical action of shifted $q = 0$ affine algebra, $sl_{2}$ case