JOSEPH IDEALS AND LISSE MINIMAL $W$ -ALGEBRAS

JOSEPH IDEALS AND LISSE MINIMAL $W$ -ALGEBRAS

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 ( $C_{2}$ -cof...

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Veröffentlicht in:Journal of the Institute of Mathematics of Jussieu 2018-04, Vol.17 (2), p.397-417
Hauptverfasser: Arakawa, Tomoyuki, Moreau, Anne
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Closures
Dynamical systems
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Zusammenfassung: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.
ISSN:1474-7480
1475-3030
DOI:10.1017/S1474748016000025