Classical r-matrices and Poisson bracket structures on infinite-dimensional groups
β Scribed by H. Aratyn; E. Nissimov; S. Pacheva
- Book ID
- 113360626
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 505 KB
- Volume
- 284
- Category
- Article
- ISSN
- 0370-2693
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let \(P\) be a Poisson \(G\)-space and \(A\) a classical triangular \(r\)-matrix. Using the Poisson reduction, we construct a new Poisson structure \(P_{A}\) on \(P\). For this new Poisson structure \(P_{1}\), we construct its symplectic groupoid, describe its symplectic leaves, and classify its sym
A local classification of all Poisson-Lie structures on an infinite-dimensional group G~o of formal power series is given. All Lie bialgebra structures on the Lie algebra 9oo of G~ are also classified. Mathematics Subject Classifications (1991). 17B37, 17B66, 17B68.