Infinitesimal algebraic skeletons for a (2+1)-dimensional Toda type system
Exactly Solvable and Integrable Systems
2020-11-24 v3 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1310.4947,
title = {Infinitesimal algebraic skeletons for a (2+1)-dimensional Toda type system},
author = {M. Palese and E. Winterroth},
journal= {arXiv preprint arXiv:1310.4947},
year = {2020}
}
Comments
10 pages; a misprint on pag 7 corrected