Full symmetric Toda system: QR-solution for complete DLNT-family
Exactly Solvable and Integrable Systems
2022-12-20 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
The paper is devoted to the algebraic and geometric aspects of the full symmetric Toda system. We construct a solution to the complete Deift-Li-Nanda-Tomei flows system using the QR decomposition method. For this purpose we introduce specialized invariant tensor operations on the Lax operator of the model. These operations have a direct interpretation in terms of the representation theory of Lie algebras. We expect that this approach can be effective in studying the geometry of flag varieties.
Keywords
Cite
@article{arxiv.2212.09148,
title = {Full symmetric Toda system: QR-solution for complete DLNT-family},
author = {Yury B. Chernyakov and Georgy I. Sharygin and Dmitry V. Talalaev},
journal= {arXiv preprint arXiv:2212.09148},
year = {2022}
}
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29 pages