Xun Xie

activity

20142020

most citedA decomposition formula for the Kazhdan-Lusztig basis of affine Hecke algebras of rank 2

6 citations · 16 across the 7 of their papers we have counts for

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Showing 2019Show all

3 papers · 1 filter

math.RT2019

Associated varieties of minimal highest weight modules

Zhanqiang Bai, Jia-Jun Ma, Wei Xiao +1

Let $g$ be a complex simple Lie algebra. A simple $g$ -module is called minimal if the associated variety of its annihilator ideal coincides with the closure o…

math.RT2019

Conjectures P1-P15 for hyperbolic Coxeter groups of rank 3

Jianwei Gao, Xun Xie

We prove Lusztig's conjectures P1-P15 for hyperbolic Coxeter groups of rank 3. Our proof enables us to give a description of the a-function and Kazhdan-Lusztig cells for these Coxe…

math.RT2019★ 2 cited

Conjectures P1-P15 for Coxeter groups with complete graph

Xun Xie

We prove Lusztig's conjectures P1-P15 for Coxeter groups with complete graph, using deceasing induction on $a$ -values and a kind of decomposition formula of Kazhdan-Lusz…