Traces in braided categories
نویسندگان
چکیده
With any even Hecke symmetry R (that is a Hecke type solution of the Yang-Baxter equation) we associate a quasitensor category. We formulate a condition on R implying that the constructed category is rigid and its commutativity isomorphisms RU,V are natural in the sense of [T]. We show that this condition leads to rescaling the initial Hecke symmetry. We suggest a new way of introducing traces as properly normalized categorical morphisms End (V ) → K and deduce the corresponding normalization from categorical dimensions. AMS Mathematics Subject Classification, 1991 : 18D10, 81R50
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