Non-negative integral level affine Lie algebra tensor categories and their associativity isomorphisms
type: Item
instance of: scholarly article
title: Non-negative integral level affine Lie algebra tensor categories and their associativity isomorphisms
zbMATH Open document ID: 1395.17052
author: Robert McRae
published in: Communications in Mathematical Physics
publication date: 2016-08-18T00:00:00Z
full work available at URL: https://arxiv.org/abs/1506.00113
Mathematics Subject Classification ID: 17B67
Mathematics Subject Classification ID: 17B69
Mathematics Subject Classification ID: 18C99
zbMATH DE Number: 6618123
Wikidata QID: Q115388573
MaRDI profile type: Publication
OpenAlex ID: W3122084985
arXiv ID: 1506.00113
cites work: Vertex operator algebras associated to modular invariant representations for \(A_ 1^{(1)}\)
cites work: Q4523528
cites work: Infinite conformal symmetry in two-dimensional quantum field theory
cites work: Q5702549
cites work: Vertex operator algebras associated to admissible representations of \(\hat sl_ 2\)
cites work: Vertex operator algebras and associative algebras
cites work: Q5749433
cites work: Intertwining operators among modules for affine Lie algebra and lattice vertex operator algebras which respect integral forms
cites work: Determining fusion rules by \(A(V)\)-modules and bimodules
cites work: Q4294360
cites work: A new perspective on the Frenkel-Zhu fusion rule theorem
cites work: An equivalence of fusion categories
cites work: On axiomatic approaches to vertex operator algebras and modules
cites work: Q3994993
cites work: Vertex operator algebras associated to representations of affine and Virasoro algebras
cites work: A theory of tensor products for module categories for a vertex operator algebra. IV
cites work: DIFFERENTIAL EQUATIONS AND INTERTWINING OPERATORS
cites work: DIFFERENTIAL EQUATIONS, DUALITY AND MODULAR INVARIANCE
cites work: VERTEX OPERATOR ALGEBRAS AND THE VERLINDE CONJECTURE
cites work: RIGIDITY AND MODULARITY OF VERTEX TENSOR CATEGORIES
cites work: A theory of tensor products for module categories for a vertex operator algebra. I
cites work: A theory of tensor products for module categories for a vertex operator algebra. II
cites work: A theory of tensor products for module categories for a vertex operator algebra. III
cites work: Intertwining operator algebras and vertex tensor categories for affine Lie algebras
cites work: Logarithmic Tensor Category Theory for Generalized Modules for a Conformal Vertex Algebra, I: Introduction and Strongly Graded Algebras and Their Generalized Modules
cites work: Logarithmic intertwining operators and associative algebras
cites work: Introduction to Lie Algebras and Representation Theory
cites work: Q4040877
cites work: Q4317887
cites work: Tensor Structures Arising from Affine Lie Algebras. I
cites work: Tensor Structures Arising from Affine Lie Algebras. III
cites work: Tensor Structures Arising from Affine Lie Algebras. IV
cites work: Q3741813
cites work: Current algebras and Wess-Zumino model in two dimensions
cites work: Introduction to vertex operator algebras and their representations
cites work: Q5691063
cites work: Classical and quantum conformal field theory
cites work: Relaxed singular vectors, Jack symmetric functions and fractional level \(\widehat{\mathfrak{sl}}(2)\) models
cites work: Lie algebra cohomology and the fusion rules
cites work: Vertex tensor category structure on a category of Kazhdan-Lusztig
cites work: Modular invariance of characters of vertex operator algebras
DOI: 10.1007/S00220-016-2683-Y
description: scientific article