Joseph ideals and lisse minimal W-algebras
Representation Theory
2016-03-16 v3 Mathematical Physics
math.MP
Quantum Algebra
Abstract
We consider a lifting of Joseph ideals for the minimal nilpotent orbit closure to the setting of affine Kac-Moody algebras and find new examples of affine vertex algebras whose associated varieties are minimal nilpotent orbit closures. As an application we obtain a new family of lisse (-cofinite) W-algebras that are not coming from admissible representations of affine Kac-Moody algebras.
Keywords
Cite
@article{arxiv.1506.00710,
title = {Joseph ideals and lisse minimal W-algebras},
author = {Tomoyuki Arakawa and Anne Moreau},
journal= {arXiv preprint arXiv:1506.00710},
year = {2016}
}
Comments
References and comments added in the introduction. Proof of Theorem 4.2 slightly correct. Conjecture 2 and 4 are corrected