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ArticleOriginal scientific text

Title

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

Authors 1, 2

Affiliations

  1. Departamento de Física, Universidad de Burgos, E-09003, Burgos, Spain
  2. Departamento de Física Teórica, Universidad de Valladolid, E-47011, Valladolid, Spain

Abstract

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.

Bibliography

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Banach Center Publications
1997/40/1
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Pages:
261-271
Main language of publication
English
Published
1997
Exact and natural sciences