Duality for Exotic Bialgebras - Archive ouverte HAL
Article Dans Une Revue Journal of Physics A: Mathematical and Theoretical Année : 2001

Duality for Exotic Bialgebras

Résumé

In the classification of Hietarinta, three triangular $4\\times 4$ $R$-matrices lead, via the FRT formalism, to matrix bialgebras which are not deformations of the trivial one. In this paper, we find the bialgebras which are in duality with these three exotic matrix bialgebras. We note that the $L-T$ duality of FRT is not sufficient for the construction of the bialgebras in duality. We find also the quantum planes corresponding to these bialgebras both by the Wess-Zumino R-matrix method and by Manin\'s method.

Dates et versions

hal-00007526 , version 1 (13-07-2005)

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Citer

D. Arnaudon, A. Chakrabarti, V. K. Dobrev, S. G. Mihov. Duality for Exotic Bialgebras. Journal of Physics A: Mathematical and Theoretical, 2001, 34, pp.4065-4082. ⟨hal-00007526⟩
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