W-algebras for non-abelian Toda systems

Abstract

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.

LaTeX, AMS fonts, 40 pages; v3: some comments and refs added

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Cited by in corpus (2)

• Toda equations associated with loop groups of complex classical Lie groups
• On classification of non-abelian Toda systems