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math.QA2004
Exotic bialgebras : non-deformation quantum groups
D. Arnaudon, A. Chakrabarti, V. K. Dobrev +1
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 a…
math.QA2003
Irreducible representations of the quantum analogue of SU(2)
Ph. Roche, D. Arnaudon
We give the complete set of irreducible representations of U(SU(2))_q when q is a m-th root of unity. In particular we show that their dimensions are less or equal to m. Some of th…
math.QA2000
On the Quasi-Hopf structure of deformed double Yangians
D. Arnaudon, J. Avan, L. Frappat +2
We construct universal twists connecting the centrally extended double Yangian DY(sl(2))_c with deformed double Yangians DY_r(sl(2))_c, thereby establishing the quasi-Hopf structur…