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W-algebras for non-abelian Toda systems

✍ Scribed by Kh.S. Nirov; A.V. Razumov

Book ID: 104343237
Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 293 KB
Volume: 48
Category: Article
ISSN: 0393-0440
DOI: 10.1016/s0393-0440(03)00054-8

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✦ Synopsis

We construct the classical W-algebras for some non-abelian Toda systems associated with the Lie groups GL 2n (R) and Sp n (R). We start with the set of characteristic integrals and find the Poisson brackets for the corresponding Hamiltonian counterparts. The convenient block matrix representation for the Toda equations is used. The infinitesimal symmetry transformations generated by the elements of the W-algebras are presented.

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