On universal R-matrices at roots of unity |
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Authors: | Daniel Arnaudon |
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Affiliation: | 1. Laboratoire de Physique Théorique ENSLAPP, Chemin de Bellevue BP 110, 74941, Annecy-le-Vieux Cedex, France
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Abstract: | It is well-known that quantum algebras at roots of unity are not quasi-triangular. They indeed do not possess an invertible universalR-matrix. They have, however, families of quotients, on which no obstructiona priori forbids the existence an universalR-matrix. In particular, the universalR-matrix of the so-called finite dimensional quotient is already known. We try here to answer the following questions: are most of these quotients equivalent (or Hopf equivalent)? Can the universalR-matrix of one be transformed to the universalR-matrix of another using isomorphisms? |
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