POISSON STRUCTURES ON DOUBLE LIE-GROUPS

Authors
ALEKSEEVSKY D GRABOWSKI J MARMO G MICHOR PW
Citation
D. Alekseevsky et al., POISSON STRUCTURES ON DOUBLE LIE-GROUPS, Journal of geometry and physics, 26(3-4), 1998, pp. 340-379
Citations number
36
Categorie Soggetti
Mathematics,"Physycs, Mathematical",Mathematics,"Physycs, Mathematical
Journal title
Journal of geometry and physics → ACNP
ISSN journal
03930440
Volume
26
Issue
3-4
Year of publication
1998
Pages
340 - 379
Database
ISI
SICI code
0393-0440(1998)26:3-4<340:PSODL>2.0.ZU;2-V
Abstract
Lie bialgebra structures are reviewed and investigated in terms of the double Lie algebra, of Manin- and Gauss-decompositions. The standard R-matrix in a Manin decomposition then gives rise to several Poisson s tructures on the correponding double group, which is investigated in g reat detail.