Contractions on the Classical Double
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Lie algebra contractions on the classical Drinfel'd Double of a given Lie bialgebra are introduced and compared to the usual Lie bialgebra contraction theory. The connection between both approaches turns out to be intimately linked to duality problems. The non-relativistic (Galilean) limit of a (1+1) Poincaré Double is used to illustrate the contraction process. Finally, it is shown that, in a certain sense, the classical limit in a quantum algebra can be thought as a certain contraction on the corresponding Double.
10 pages, LaTeX. M.O. contribution to Group 21, Goslar 1996
10 pages, LaTeX. M.O. contribution to Group 21, Goslar 1996