Vertex operator algebras associated to type G affine Lie algebras

DOI10.1016/j.jalgebra.2011.04.028zbMath1267.17032arXiv1011.3473OpenAlexW2963382637WikidataQ115351190 ScholiaQ115351190MaRDI QIDQ657983

Kyu-Hwan Lee, Jonathan D. Axtell

Publication date: 11 January 2012

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.3473

zbMATH Keywords

vertex operator algebrasaffine Lie algebrasirreducible representationssingular vectorsadmissible levels

Mathematics Subject Classification ID

Vertex operators; vertex operator algebras and related structures (17B69)

Related Items (8)

An admissible level \(\widehat{\mathfrak{osp}}(1| 2)\)-model: modular transformations and the Verlinde formula ⋮ \(A_{2l}^{(2)}\) at level \(-l-\frac{1}{2}\) ⋮ Braided tensor categories of admissible modules for affine Lie algebras ⋮ Some general results on conformal embeddings of affine vertex operator algebras ⋮ JOSEPH IDEALS AND LISSE MINIMAL -ALGEBRAS ⋮ Vertex Operator Algebras Associated to TypeGAffine Lie Algebras II ⋮ Rationality of admissible affine vertex algebras in the category \(\mathcal O\) ⋮ Relaxed highest-weight modules II: Classifications for affine vertex algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Affine Lie algebras on admissible half-integer levels
• On rationality of \(W\)-algebras
• Annihilating ideals of standard modules of \({\mathfrak sl}(2,{\mathbb{C}})^\sim\) and combinatorial identities
• Vertex operator algebras associated to representations of affine and Virasoro algebras
• Vertex operator algebras associated to admissible representations of \(\hat sl_ 2\)
• Introduction to vertex operator algebras and their representations
• Vertex operator algebras associated to modular invariant representations for \(A_ 1^{(1)}\)
• Tensor Structures Arising from Affine Lie Algebras. I
• Vertex operator algebras associated to certain admissible modules for affine Lie algebras of type A
• Modular invariant representations of infinite-dimensional Lie algebras and superalgebras
• Tensor Structures Arising from Affine Lie Algebras. III
• Modular invariance of characters of vertex operator algebras

This page was built for publication: Vertex operator algebras associated to type G affine Lie algebras