A Reason for Fusion Rules to Be Even

نویسندگان

  • Jürgen Fuchs
  • Ingo Runkel
  • Christoph Schweigert
چکیده

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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تاریخ انتشار 2001