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Contractions of Poisson-Lie groups, Lie bialgebras and quantum deformations

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Ballesteros A., del Olmo M. A.

Banach Center Publications

1997

tom 40

nr 1

261-271

Contractions of Poisson-Lie groups are introduced by using Lie bialgebra contractions. As an application, contractions of SL(2,R) Poisson-Lie groups leading to (1+1) Poincaré and Heisenberg structures are analysed. It is shown how the method here introduced allows a systematic construction of the Poisson structures associated to non-coboundary Lie bialgebras. Finally, it is sketched how contractions are also implemented after quantization by using the Lie bialgebra approach.

Ograniczanie wyników

1 Banach Center Publications

1 Ballesteros A.

1 del Olmo M. A.

1 1997

Wyniki wyszukiwania

Contractions of Poisson-Lie groups, Lie bialgebras and quantum deformations