论文标题

完全对称的TODA系统:QR-solution for Golete DLNT家庭

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

论文作者

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

论文摘要

该论文致力于完整的对称TODA系统的代数和几何方面。我们使用QR分解方法为完整的Deift-Li-Nanda-Tomei流系统构建解决方案。为此,我们在模型的LAX操作员上介绍了专门的不变张量操作。这些操作根据谎言代数的表示理论有直接的解释。我们希望这种方法可以有效研究国旗品种的几何形状。

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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