3 papers
math.RT2025
Centralizers in Hecke Algebras of Any Coxeter Group
Haiyu Chen
We study the centralizer of a parabolic subalgebra in the Hecke algebra associated with an arbitrary (possibly infinite) Coxeter group. While the center and cocenter have been exte…
math.RT2023
Regularity of Unipotent Elements in Total Positivity
Haiyu Chen, Kaitao Xie
Let be a connected reductive group split over R. We show that every unipotent element in the totally nonnegative monoid of G is regular in some Levi subgroups, confirming a con…
math.RA2019
The Brauer Group of Rational Numbers
Haiyu Chen
In this project, we will study the Brauer group that was first defined by R. Brauer. The elements of the Brauer group are the equivalence classes of finite dimensional central simp…