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Interpolated family of non-group-like simple integral fusion rings of Lie type

Interpolated family of non-group-like simple integral fusion rings of Lie type

This paper is motivated by the quest of a non-group irreducible finite index depth 2 maximal subfactor. We compute the generic fusion rules of the Grothendieck ring of Rep(PSL(2,q)), q prime-power, by applying a Verlinde-like formula on the generic character table. We then prove that this family of fusion rings …