JOSEPH IDEALS AND LISSE MINIMAL W-ALGEBRAS

被引：30
作者：
Arakawa, Tomoyuki [1 ]
Moreau, Anne [2 ]
机构：
[1] Kyoto Univ, Res Inst Math Sci, Kyoto 6068502, Japan
[2] Lab Math & Applicat, Teleport 2,BP 30179,Blvd Marie & Pierre Curie, F-86962 Futuroscope, France
来源：
JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU | 2018年 / 17卷 / 02期
关键词：
Joseph ideal; associated variety; Deligne exceptional series; affine Kac-Moody algebra; affine W-algebra; VERTEX OPERATOR-ALGEBRAS; MODULAR INVARIANT REPRESENTATIONS; EXCEPTIONAL SERIES; QUANTUM REDUCTION; VERLINDE FORMULAS; LIE-ALGEBRAS; AFFINE; RATIONALITY; SLICES;
D O I：
10.1017/S1474748016000025
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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 (C-2-cofinite) W-algebras that are not coming from admissible representations of affine Kac Moody algebras.
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页码：397 / 417
页数：21
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