Tropical Robinson-Schensted-Knuth correspondence and birational Weyl group actions

Tropical Robinson-Schensted-Knuth correspondence and birational Weyl group actions
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DOI:
10.2969/aspm/04010371
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发表时间:
2002-03
期刊:
arXiv: Mathematical Physics
影响因子:
--
通讯作者:
M. Noumi;Y. Yamada
M. Noumi;Y. Yamada
中科院分区:
其他
文献类型:
--
作者:
M. Noumi;Y. Yamada

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利用初等矩阵方法,基于离散户田方程技术,构造了与各种组合算法(包括RSK对应)相关的无减有理和分段线性变换.我们还研究了与这些算法相关的双有理Weyl群作用。
By using an elementary matrix approach, based on the technique of discrete Toda equation, we construct subtraction-free rational and piecewise linear transformations associated with various combinatorial algorithms, including the RSK correspondence. We also investigate birational Weyl group actions related to those algorithms.