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Full symmetric Toda system: QR- solution for complete DLNT-familyстатья
- Авторы: Талалаев Д.В., Черняков Ю.Б., Шарыгин Г.И.
- Журнал: arXive e-print
- Год издания: 2022
- Номер статьи: arXiv:2212.09148
- Аннотация: 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.
- Добавил в систему: Шарыгин Георгий Игорьевич