2 papers
math.AG2025
Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements
Sian Nie, Felix Schremmer, Qingchao Yu
Cases of Shimura varieties where the special fibre of a Rapoport-Zink space is simply the union of classical Deligne-Lusztig varieties are known as fully Hodge-Newton decomposable…
math.RT2024
Convex elements and Steinberg's cross-sections
Sian Nie, Panjun Tan, Qingchao Yu
In this paper, we study convex elements in a (twisted) Weyl group introduced by Ivanov and the first named author. We show that each conjugacy class of the twisted Weyl group conta…