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26 April 2024
 
  » arxiv » math.QA/0110257

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A reason for fusion rules to be even
Juergen Fuchs ; Ingo Runkel ; Christoph Schweigert ;
Date 23 Oct 2001
Journal J.Phys. A35 (2002) L255-260
Subject Quantum Algebra; Category Theory | math.QA hep-th math.CT
AbstractWe show that certain tensor product multiplicities in semisimple braided sovereign tensor categories must be even. The quantity governing this behavior is the Frobenius-Schur indicator. The result applies in particular to the representation categories of large classes of groups, Lie algebras, Hopf algebras and vertex algebras.
Source arXiv, math.QA/0110257
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