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arXiv · 2212.09148

Full symmetric Toda system: QR-solution for complete DLNT-family

Yury B. Chernyakov·Georgy I. Sharygin·Dmitry V. Talalaev
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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.

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Yury B. Chernyakov, Georgy I. Sharygin, Dmitry V. Talalaev. 2022-12-18. Full symmetric Toda system: QR-solution for complete DLNT-family. https://arxiv.org/abs/2212.09148

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