2 citations · 2 across the 4 of their papers we have counts for
5 papers
Affine vertex algebras and an affine analog of Barbasch-Vogan's construction
Peng Shan, Wenbin Yan, Qixian Zhao
This is an expository paper based on the authors' joint works. The goal is to explain the statements and the ideas behind two conjectures on associated varieties and simple modules…
Associated varieties of simple affine vertex algebras at rational levels
Peng Shan, Wenbin Yan, Qixian Zhao
We present a conjecture for associated varieties of simple affine vertex algebras attached to a simple Lie algebra of simply-laced type and any r…
Cyclotomic level maps and associated varieties of simple affine vertex algebras
Peng Shan, Wenbin Yan, Qixian Zhao
In this paper, we introduce and study two cyclotomic level maps defined respectively on the set of nilpotent orbits in a complex semi-simple Lie algebra $…
On a geometric comparison of representations of complex and -adic
Taiwang Deng, Chang Huang, Bin Xu +1
In this paper, we use geometric methods to study the relations between admissible representations of and unramified representations of $\mathbf{GL}_m(\m…
Kazhdan-Lusztig Algorithm for Whittaker Modules with Arbitrary Infinitesimal Characters
Qixian Zhao
Let be a complex semisimple Lie algebra. We give a description of characters of irreducible Whittaker modules for with any infinitesimal character, al…