COMPATIBLE POISSON-LIE STRUCTURES ON THE LOOP GROUP OF SL(2)

Authors
ENRIQUEZ B RUBTSOV V
Citation
B. Enriquez et V. Rubtsov, COMPATIBLE POISSON-LIE STRUCTURES ON THE LOOP GROUP OF SL(2), letters in mathematical physics, 38(4), 1996, pp. 429-436
Citations number
8
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
letters in mathematical physics → ACNP
ISSN journal
03779017
Volume
38
Issue
4
Year of publication
1996
Pages
429 - 436
Database
ISI
SICI code
0377-9017(1996)38:4<429:CPSOTL>2.0.ZU;2-O
Abstract
We define a 1-parameter family of r-matrices on the loop algebra of sb , defining compatible Poisson structures on the associated loop group, which degenerate into the rational and trigonometric structures, and study the Manin triples associated with them.