Infinitesimal Algebraic Skeletons for a (2 + 1)-dimensional Toda Type System

M. Palese, E. Winterroth

Abstract


A tower for a (2+1)-dimensional Toda type system is constructed in terms of a series expansion of operators which can be interpreted as generalized Bessel coefficients; the result is formulated as an analog of the Baker-Campbell-Hausdorff formula. We tackle the problem of the construction of infinitesimal algebraic skeletons for such a tower and discuss some open problems arising along our approach.

Keywords


Toda type system; integrability; infinitesimal skeleton; tower; Cartan connection

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ISSN 1210-2709 (Print)
ISSN 1805-2363 (Online)
Published by the Czech Technical University in Prague