Yujiao Sun

activity

20182024

collaborators

5 papers

math.RT2024

On Hecke algebras and $Z$ -graded twisting, Shuffling and Zuckerman functors

Ming Fang, Jun Hu, Yujiao Sun

Let $g$ be a complex semisimple Lie algebra with Weyl group $W$ . Let $H (W)$ be the Iwahori-Hecke algebra associated to $W$ . For each $w \in W$ , let $T_{w}$ and $C_{w}$ be the correspond…

math.RT2021

Kazhdan-Lusztig left cell preorder and dominance order

Zhekun He, Jun Hu, Yujiao Sun

Let " $\leq_{L}$ " be the Kazhdan-Lusztig left cell preorder on the symmetric group $S_{n}$ . Let $w \mapsto (P (w), Q (w))$ be the Robinson-Schensted-Knuth correspondence between $S_{n}$ and t…

math.RT2018

Integral $u$ -deformed involution modules

Jun Hu, Yujiao Sun

Let $(W, S)$ be a Coxeter system and $*$ an automorphism of $W$ with order $\leq 2$ and $S^{*} = S$ . Lusztig and Vogan ([11], [14]) have introduced a $u$ -deformed version $M_{u}$ …

math.RT2018

Supercharacter theories for Sylow $p$ -subgroups of Lie type $G_{2}$

Yujiao Sun

We construct a supercharacter theory, and establish the supercharacter table for Sylow $p$ -subgroups $G_{2}^{sy l} (q)$ of the Chevalley groups $G_{2} (q)$ of Lie type $G_{2}$ when $p > 2$ . T…

math.RT2018

Supercharacter theories for Sylow $p$ -subgroups of the Ree groups

Yujiao Sun

We determine a supercharacter theory for Sylow $p$ -subgroups $^{2} G_{2}^{sy l} (3^{2 m + 1})$ of the Ree groups $^{2} G_{2} (3^{2 m + 1})$ , calculate the conjugacy classes of ${^2{G}_2^{syl}(3…

On Hecke algebras and Z-graded twisting, Shuffling and Zuckerman functors

Kazhdan-Lusztig left cell preorder and dominance order

Integral u-deformed involution modules

Supercharacter theories for Sylow p-subgroups of Lie type G2​

Supercharacter theories for Sylow p-subgroups of the Ree groups

On Hecke algebras and $Z$ -graded twisting, Shuffling and Zuckerman functors

Integral $u$ -deformed involution modules

Supercharacter theories for Sylow $p$ -subgroups of Lie type $G_{2}$

Supercharacter theories for Sylow $p$ -subgroups of the Ree groups