QUADRATIC BRACKETS FROM SYMPLECTIC FORMS

Authors
ALEKSEEV AY TODOROV IT
Citation
Ay. Alekseev et It. Todorov, QUADRATIC BRACKETS FROM SYMPLECTIC FORMS, Nuclear physics. B, 421(2), 1994, pp. 413-428
Citations number
22
Categorie Soggetti
Physics, Nuclear
Journal title
Nuclear physics. B → ACNP
ISSN journal
05503213
Volume
421
Issue
2
Year of publication
1994
Pages
413 - 428
Database
ISI
SICI code
0550-3213(1994)421:2<413:QBFSF>2.0.ZU;2-H
Abstract
We give a physicist oriented survey of Poisson-Lie symmetries of class ical systems. We consider finite-dimensional geometric actions and the chiral WZNW model as examples for the general construction. An essent ial point is the appearance of quadratic Poisson brackets for group-li ke variables. It is believed that upon quantization they lead to quadr atic exchange algebras.