全对称Toda系统：完全DLNT族的QR解
Full symmetric Toda system: QR-solution for complete DLNT-family
摘要：
本文主要研究全对称Toda系统的代数和几何性质。利用QR分解方法构造了完全Deift-Li-Nanda-Tomei流系统的解。为此，我们引入专门的不变张量操作的Lax算子的模型。这些运算在李代数的表示论中有直接的解释。我们希望这种方法可以有效地研究旗形品种的几何形状。
英文摘要：
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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