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arXiv 2006-07-30 0 views

Fusion in the Extended Verlinde Algebra

Graziano, Vincent

Original · EN

In this paper we study modular G-equivariant fusion categories and their extended Verlinde algebras. We dicuss settings in which fusion rules are diagonalizable. In particular, when G = Z₂ we generalize the Verlinde formula. We discuss an important example at length: the type D₂ₘ₊₂ quantum subgroup of the semisimple representations of Uq(sl₂).

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