3 papers
math.RT2026
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…
math.RT2026
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…
math.RT2026
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 $…