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Bethe manifolds associated with classical root systems

โœ Scribed by V. V. Meshcheryakov


Book ID
110149239
Publisher
SP MAIK Nauka/Interperiodica
Year
2007
Tongue
English
Weight
582 KB
Volume
82
Category
Article
ISSN
0001-4346

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Poisson Manifolds Associated with Group
โœ P. Xu ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 951 KB

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