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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 R U,V are natural in the sense of . We show that this condition leads to rescaling the initial Hecke symmetry. We suggest a new way of introducing...
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