4 papers
math.RT2021
Application of Schur-Weyl duality to Springer theory
Zhijie Dong, Haitao Ma
In \cite{FMX19}, it is proved that the convolution algebra of top Borel-Moore homology on Steinberg variety of type realizes , where is the fixed point…
math.RT2019
Convolution algebra of diagram automorphism fixed quiver variety
Zhijie Dong, Haitao Ma
We study the convolution algebra of homology on diagram automorphism fixed point quiver variety and prove that there exists an algebra homomorphism from the univer…
math.RT2019
Equivariant homology theory and twisted Yangian
Zhijie Dong, Haitao Ma
We study the convolution algebra $H^{G\times \CC^{*}}_{*}(Z)$ of -equivariant homology group on the Steinberg variety of type B/C and define an algebra that maps…
math.RT2018
A relation between Mirković-Vilonen cycles and modules over preprojective algebra of Dynkin quiver of type ADE
Zhijie Dong
The irreducible components of the variety of all modules over the preprojective algebra and MV cycles both index bases of the universal enveloping algebra of the positive part of a…