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

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4 papers · 1 filter

math.RT2022★ 2 cited

Equivariant log-concavity and equivariant Kähler packages

Tao Gui, Rui Xiong

We show that the exterior algebra $Λ_{R} [α_{1}, \dots, α_{n}]$ , which is the cohomology of the torus $T = (S^{1})^{n}$ , and the polynomial ring $\mathbb{R}\left[t_{1}, \l…

math.RT2022

A Geometric Realization of Symmetric Pairs of Type AIII

Rui Xiong

In this paper, we construct a geometric realization of symmetric pair of type AIII over $σ$ -quiver varieties as an analogy of the construction over Nakajima quiver varieties. To ac…

math.RT2020★ 1 cited

Comodule Structures, Equivariant Hopf Structures, and Generalized Schubert Polynomials

Rui Xiong

In this article, the comodule structure of Chow rings of Flag manifolds $CH (G / B)$ is described by Schubert cells. Its equivariant version gives rise to a Hopf struct…

math.RT2020

Direct proof of Mckay Correspondence and the representations of finite subgroups of $SO (4)$

Rui Xiong

The classic Mckay correspondence gives a connection between finite subgroups of $SU (2)$ and the simply-laced Dynkin diagrams. In this article, a direct proof is pres…

Equivariant log-concavity and equivariant Kähler packages

A Geometric Realization of Symmetric Pairs of Type AIII

Comodule Structures, Equivariant Hopf Structures, and Generalized Schubert Polynomials

Direct proof of Mckay Correspondence and the representations of finite subgroups of SO(4)

Direct proof of Mckay Correspondence and the representations of finite subgroups of $SO (4)$