A reason for fusion rules to be even

Details A reason for fusion rules to be even A reason for fusion rules to be even

2001-10-23

arxiv.org/abs/math/0110257v1

J.Phys. A35 (2002) L255-260

Mathematics

Quantum Algebra

6 pages, LaTeX

Scientific paper

10.1088/0305-4470/35/19/102

We 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.

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