PHASE SPACES RELATED TO STANDARD CLASSICAL R-MATRICES

Authors
Citation
S. Zakrzewski, PHASE SPACES RELATED TO STANDARD CLASSICAL R-MATRICES, Journal of physics. A, mathematical and general, 29(8), 1996, pp. 1841-1857
Citations number
25
Categorie Soggetti
Physics
ISSN journal
03054470
Volume
29
Issue
8
Year of publication
1996
Pages
1841 - 1857
Database
ISI
SICI code
0305-4470(1996)29:8<1841:PSRTSC>2.0.ZU;2-U
Abstract
Fundamental representations of real simple Poisson Lie groups are Pois son actions with a suitable choice of the Poisson structure on the und erlying (real) vector space. We study these (mostly quadratic) Poisson structures and corresponding phase spaces (symplectic groupoids).