Compatible Poisson-Lie structures on the loop group of \(\text{SL}_ 2\)

DOI10.1007/BF01815525zbMath0874.17025arXivq-alg/9512011OpenAlexW2038195547WikidataQ115393161 ScholiaQ115393161MaRDI QIDQ2563438

Benjamin Enriquez, Vladimir Rubtsov

Publication date: 12 December 1996

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/q-alg/9512011

zbMATH Keywords

bi-Hamiltonian manifoldsloop algebraloop groups\(r\)-matricesManin tripleshigher compatible Poisson structures

Mathematics Subject Classification ID

Infinite-dimensional Lie (super)algebras (17B65) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (1)

Factorization of the universal \({\mathcal R}\)-matrix for \(U_q (\widehat{sl}_2)\)

Cites Work

• What is a classical r-matrix?
• On rational solutions of Yang-Baxter equations. Maximal orders in loop algebra
• GENERALIZED GAUSS DECOMPOSITION OF TRIGONOMETRIC R-MATRICES
• Solutions of the classical Yang-Baxter equation for simple Lie algebras

This page was built for publication: Compatible Poisson-Lie structures on the loop group of \(\text{SL}_ 2\)