activity
20192024
most citedJordan decomposition for weights and the blockwise Alperin weight conjecture

4 citations · 8 across the 9 of their papers we have counts for

collaborators

9 papers

math.AG2024

Uniform K-stability of -varieties of complexity 1

Yan Li, Zhenye Li

Let be an algebraically closed field of characteristic 0 and a connect, reductive group over it. Let be a projective -variety of complexity 1. We classify -…

math.DG2022

Weighted K-stability of -Fano spherical varieties

Yan Li, ZhenYe Li, Feng Wang

Let be a connected, complex reductive Lie group and a -Fano -spherical variety. In this paper we compute the weighed non-Archimedean functionals of a -equi…

math.DG2022

Equivariant -test configurations of polarized spherical varieties

Yan Li, Zhenye Li

Let be a connected, complex reductive Lie group and a spherical homogenous space. Let be a polarized -variety which is a spherical embedding of . In this…

math.RT2021★ 1 cited

Morita equivalences and the inductive blockwise Alperin weight condition for type

Zhicheng Feng, Zhenye Li, Jiping Zhang

As a step to establish the blockwise Alperin weight conjecture for all finite groups, we verify the inductive blockwise Alperin weight condition introduced by Navarro--Tiep and Spä…

math.DG2021

Equivariant -test configurations and semistable limits of -Fano group compactifications

Yan Li, ZhenYe Li

Let be a connected, complex reductive group. In this paper, we classify -equivariant normal -test configurations of a polarized -compactification. Then…

math.RT2021★ 4 cited

Jordan decomposition for weights and the blockwise Alperin weight conjecture

Zhicheng Feng, Zhenye Li, Jiping Zhang

The Alperin weight conjecture was reduced to simple groups by the work of Navarro, Tiep and Späth. To prove Alperin weight conjecture, it suffices to show that all finite non-abeli…

math.DG2020

Kähler-Einstein metrics and Ding functional on -Fano group compactifications

Yan Li, ZhenYe Li

Let be a complex, connect reductive Lie group which is the complexification of a compact Lie group . Let be a -Fano -compactification. In this paper, we fi…

math.DG2020

Finiteness of -Fano compactifications of semisimple group with Kähler-Einstein metrics

Yan Li, ZhenYe Li

In this note, we give a way to classify -Fano compactifications of a semisimple group . We will prove that there are only finitely many such -Fano -comp…

math.RT2019★ 3 cited

On the inductive blockwise Alperin weight condition for classical groups

Zhicheng Feng, Zhenye Li, Jiping Zhang

Recently, there has been substantial progress on the Alperin weight conjecture. As a step to establish the Alperin weight conjecture for all finite groups, we prove the inductive b…