Rui Xiong

activity

20192026

most citedPieri and Murnaghan--Nakayama type Rules for Chern classes of Schubert Cells

2 citations · 7 across the 18 of their papers we have counts for

collaborators

Showing math.AGShow all

4 papers · 1 filter

math.AG2026

Permutation Representations on Cohomology of Toric Varieties

Tao Gui, Chushi Qin, Kaizhe Shen +1

Let $G$ be a finite group acting properly by lattice automorphisms on a complete simplicial fan $Σ$ . An open question due to Stanley asked whether the (ungraded) representation car…

math.AG2023

Automorphisms of the Quantum Cohomology of the Springer Resolution and Applications

Changzheng Li, Changjian Su, Rui Xiong

In this paper, we introduce quantum Demazure--Lusztig operators acting by ring automorphisms on the equivariant quantum cohomology of the Springer resolution. Our main application…

math.AG2023

Structure algebras, Hopf algebroids and oriented cohomology of a group

Martina Lanini, Rui Xiong, Kirill Zainoulline

We prove that the structure algebra of a Bruhat moment graph of a finite real root system is a Hopf algebroid with respect to the Hecke and the Weyl actions. We introduce new techn…

math.AG2021

Computations of the Comodule Structures of the Chow rings of Flag Varieties

Rui Xiong

Let $G$ be a connected reductive group, and $G / B$ be its flag variety. Let $π : G \to G / B$ be the natural projection. In this paper, we developed an algorithm to describe the map $π^*…