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arXiv · 1310.4947

Infinitesimal algebraic skeletons for a (2+1)-dimensional Toda type system

M. Palese·E. Winterroth
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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. In particular, we realize the prolongation skeleton as a Kac-Moody algebra.

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M. Palese, E. Winterroth. 2013-10-18. Infinitesimal algebraic skeletons for a (2+1)-dimensional Toda type system. https://doi.org/10.14311/1362

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