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Classical r-matrices and the method of orbits

✍ Scribed by M. A. Semenov-Tyan-Shanskii

Publisher: Springer US
Year: 1985
Tongue: English
Weight: 645 KB
Volume: 28
Category: Article
ISSN: 1573-8795
DOI: 10.1007/bf02104981

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📜 SIMILAR VOLUMES

Classical r-matrices and quantization

✍ M. A. Semenov-Tyan-Shanskii 📂 Article 📅 1985 🏛 Springer US 🌐 English ⚖ 292 KB

Classical r-matrices and the four-wave i

Classical r-matrices and the four-wave interaction equation

✍ I. Mukhopadhyay; A. Roy Chowdhury 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 329 KB

Separating Coordinates for the Generaliz

Separating Coordinates for the Generalized Hitchin Systems and the Classical r-Matrices

✍ J.C. Hurtubise; M. Kjiri 📂 Article 📅 2000 🏛 Springer 🌐 English ⚖ 156 KB

Periodic orbits as the skeleton of class

Periodic orbits as the skeleton of classical and quantum chaos

✍ Predrag Cvitanović 📂 Article 📅 1991 🏛 Elsevier Science 🌐 English ⚖ 879 KB

Orbits for the adjoint coaction on quant

Orbits for the adjoint coaction on quantum matrices

✍ M. Domokos; R. Fioresi; T.H. Lenagan 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 199 KB

Conjugation coactions of the quantum general linear group on the algebra of quantum matrices have been introduced in an earlier paper and the coinvariants have been determined. In this paper the notion of orbit is considered via co-orbit maps associated with C-points of the space of quantum matrices

Poisson Manifolds Associated with Group

Poisson Manifolds Associated with Group Actions and Classical Triangular r-Matrices

✍ P. Xu 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 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