论文标题

舒伯特多项式的梦想

Pipe dreams for Schubert polynomials of the classical groups

论文作者

Smirnov, Evgeny, Tutubalina, Anna

论文摘要

S.Billey和M.Haiman于1995年定义了古典群体的舒伯特多项式。他们是舒伯特班级的多项式代表,在整个古典群体中。我们通过针对经典类型的Weyl群引入Pipe Dreams或RC-Gaphs的类似物,为这些多项式及其双重版本提供组合描述。

Schubert polynomials for the classical groups were defined by S.Billey and M.Haiman in 1995; they are polynomial representatives of Schubert classes in a full flag variety of a classical group. We provide a combinatorial description for these polynomials, as well as their double versions, by introducing analogues of pipe dreams, or RC-graphs, for the Weyl groups of the classical types.

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