JOSEPH IDEALS AND LISSE MINIMAL -ALGEBRAS
type: Item
instance of: scholarly article
title: JOSEPH IDEALS AND LISSE MINIMAL -ALGEBRAS
zbMATH Open document ID: 1416.17014
DOI: 10.1017/S1474748016000025
author: Tomoyuki Arakawa
author: Anne Moreau
published in: Journal of the Institute of Mathematics of Jussieu
publication date: 2018-03-13T00:00:00Z
full work available at URL: https://arxiv.org/abs/1506.00710
Mathematics Subject Classification ID: 17B67
Mathematics Subject Classification ID: 17B69
Mathematics Subject Classification ID: 81R10
zbMATH DE Number: 6849369
zbMATH Keywords: Joseph ideal
zbMATH Keywords: associated variety
zbMATH Keywords: Deligne exceptional series
zbMATH Keywords: affine Kac-Moody algebra
zbMATH Keywords: affine \(W\)-algebra
Wikidata QID: Q106647216
MaRDI profile type: Publication
arXiv ID: 1506.00710
cites work: Q4326524
cites work: Vertex operator algebras and irreducibility of certain modules for affine Lie algebras
cites work: Vertex operator algebras associated to modular invariant representations for \(A_ 1^{(1)}\)
cites work: Representation theory of superconformal algebras and the Kac-Roan-Wakimoto conjecture
cites work: A remark on the \(C_2\)-cofiniteness condition on vertex algebras
cites work: Rationality of Bershadsky-Polyakov vertex algebras
cites work: Associated Varieties of Modules Over Kac-Moody Algebras and C2-Cofiniteness of W-Algebras
cites work: Rationality of \(W\)-algebras: principal nilpotent cases
cites work: Rationality of admissible affine vertex algebras in the category \(\mathcal O\)
cites work: Zhu's algebra, \(C_2\)-algebra and \(C_2\)-cofiniteness of parafermion vertex operator algebras
cites work: Vertex operator algebras associated to type G affine Lie algebras
cites work: Q4523528
cites work: Infinite chiral symmetry in four dimensions
cites work: Q4879444
cites work: Modular data and Verlinde formulae for fractional level WZW models I
cites work: Modular data and Verlinde formulae for fractional level WZW models. II
cites work: Q4878340
cites work: On the exceptional series, and its descendants
cites work: Finite vs affine \(W\)-algebras
cites work: Integrability of C2-cofinite vertex operator algebras
cites work: Q5688193
cites work: Q4830310
cites work: Vertex operator algebras associated to representations of affine and Virasoro algebras
cites work: Uniqueness of Joseph ideal
cites work: RIGIDITY AND MODULARITY OF VERTEX TENSOR CATEGORIES
cites work: The minimal orbit in a simple Lie algebra and its associated maximal ideal
cites work: Orbital varieties of the minimal orbit
cites work: Quantum reduction for affine superalgebras
cites work: Modular invariant representations of infinite-dimensional Lie algebras and superalgebras
cites work: Q4011439
cites work: Quantum reduction and representation theory of superconformal algebras
cites work: On rationality of \(W\)-algebras
cites work: $\boldsymbol{\mathcal{W}}$-algebras with Non-admissible Levels and the Deligne Exceptional Series
cites work: Modular invariance of vertex operator algebras satisfying \(C_2\)-cofiniteness
cites work: Affine Lie algebras on admissible half-integer levels
cites work: Vertex operator algebra analogue of embedding of \(B_{4}\) into \(F_{4}\)
cites work: A note on representations of some affine vertex algebras of type \(D\)
cites work: Special transverse slices and their enveloping algebras
cites work: Enveloping algebras of Slodowy slices and the Joseph ideal
cites work: Dimension of a minimal nilpotent orbit
cites work: Modular invariance of characters of vertex operator algebras
OpenAlex ID: W627934581
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description: scientific article; zbMATH DE number 6849369