Fusion rules of \(U_ q(sl(2,\mathbb{C})),q^ m=1\)
type: Item
instance of: scholarly article
title: Fusion rules of \(U_ q(sl(2,\mathbb{C})),q^ m=1\)
zbMATH Open document ID: 0744.17014
DOI: 10.1007/BF00398325
author: Georg Keller
published in: Letters in Mathematical Physics
publication date: 1992-06-25T00:00:00Z
review text: The author classifies the finite dimensional irreducible representations of \(U_ q(sl(2,\mathbb{C}))\), \(q^ m=1\), in two families, a discrete one and a continuous one. Then he gives the decomposition in irreducible components of the tensor product of two irrducible representations in the discrete family, or one in the discrete family and the other, a special case in the continuous one.
Mathematics Subject Classification ID: 17B37
Mathematics Subject Classification ID: 81R50
Mathematics Subject Classification ID: 16W30
zbMATH DE Number: 9321
zbMATH Keywords: quantum groups
zbMATH Keywords: fusion rules
zbMATH Keywords: irreducible representations
reviewed by: Nicolás Andruskiewitsch
MaRDI profile type: Publication
cites work: Classical and quantum conformal field theory
cites work: Irreducible representations of the quantum analogue of SU(2)
cites work: A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
cites work: Q3933122
cites work: Vertex operators in the conformal field theory on \(\mathbb P^1\) and monodromy representations of the braid group
cites work: Invariants of 3-manifolds via link polynomials and quantum groups
full work available at URL: https://doi.org/10.1007/bf00398325
OpenAlex ID: W2090694164
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description: scientific article; zbMATH DE number 9321