Exotic bialgebras : non-deformation quantum groups

Details Exotic bialgebras : non-deformation quantum groups Exotic bialgebras : non-deformation quantum groups

2004-07-06

arxiv.org/abs/math/0407085v1

Mathematics

Quantum Algebra

11 pages, LaTeX2e, requires ws-procs9x6.cls; using packages: amsfonts, amsmath, amssymb; talk by D.A. at 5-th International Wo

Scientific paper

In the classification of solutions of the Yang--Baxter equation, there are solutions that are not deformations of the trivial solution (essentially the identity). We consider the algebras defined by these solutions, and the corresponding dual algebras. We then study the representations of the latter. We are also interested in the Baxterisation of these $R$-matrices and in the corresponding quantum planes.

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