研究介绍

(详见个人主页：https://zhechen.site)

Zhe Chen. Hopf algebra and the duality operation for gl_n(F_q). Preprint.

Zhe Chen. On a stability of higher level Coxeter unipotent representations. Preprint.

Zhe Chen and Alexander Stasinski. The algebraisation of higher level Deligne--Lusztig representations II: odd levels. Preprint.

Zhe Chen. Intersections of Deligne--Lusztig varieties and Springer fibres. Preprint.

Zhe Chen. Twisting operators and centralisers of Lie type groups over local rings. Journal of Algebra, 2022.

Zhe Chen. Flags and orbits of connected reductive groups over local rings. Mathematische Annalen, 2020.

Zhe Chen. A note on cusp forms and representations of SL_2(F_p). Journal of Group Theory, 2021.

Zhe Chen. Green functions and higher Deligne--Lusztig characters. Documenta Mathematica, 2018.

Zhe Chen. On the inner products of some Deligne--Lusztig-type representations. International Mathematics Research Notices, 2020.

Zhe Chen. Generic character sheaves on reductive groups over a finite ring. Journal of Pure and Applied Algebra, 2021.

Zhe Chen and Alexander Stasinski. The algebraisation of higher Deligne--Lusztig representation. Selecta Mathematica, 2017.

科研项目

局部环上Deligne--Lusztig表示的代数化及相关问题（12001351）；国家自然科学基金（青年项目）；2021.1-2023.12