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