Poisson--Lie contractions and quantum (1+1) groups

Details Poisson--Lie contractions and quantum (1+1) groups Poisson--Lie contractions and quantum (1+1) groups

1994-03-30

arxiv.org/abs/hep-th/9403182v1

Physics

High Energy Physics

High Energy Physics - Theory

7 pages

Scientific paper

A Poisson--Hopf algebra of smooth functions on the (1+1) Cayley--Klein
groups is constructed by using a classical $r$--matrix which is invariant
under contraction. The quantization of this algebra for the Euclidean,
Galilei and Poincar\'e cases is developed, and their duals are also
computed. Contractions on these quantum groups are studied.

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