Lie Bialgebras, Poisson Lie Groups, and Dressing Transformations
Identifieur interne : 000E29 ( Main/Exploration ); précédent : 000E28; suivant : 000E30Lie Bialgebras, Poisson Lie Groups, and Dressing Transformations
Auteurs : Yvette Kosmann-Schwarzbach [France]Source :
- Lecture Notes in Physics [ 0075-8450 ] ; 2004.
Abstract
Abstract: In this course, we present an elementary introduction, including the proofs of the main theorems, to the theory of Lie bialgebras and Poisson Lie groups and its applications to the theory of integrable systems. We discuss r-matrices, the classical and modified Yang-Baxter equations, and the tensor notation. We study the dual and double of Poisson Lie groups, and the infinitesimal and global dressing transformations.
Url:
DOI: 10.1007/978-3-540-40962-5_5
Affiliations:
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