论文标题

用于MacDonald多项式的设定值tableaux

Set-valued tableaux for Macdonald polynomials

论文作者

Daugherty, Zajj, Ram, Arun

论文摘要

设定值的tableaux公式在舒伯特演算中起着重要作用。使用Box Greedy简化的单词来构建MacDonald多项式,我们将MacDonald多项式的Alcove Walk公式转换为MacDonald多项式的设置值tableaux公式。我们的希望是,为MacDonald多项式提供设定值的Tableaux公式将有助于加强MacDonald多项式和Schubert Colculus的计算之间的类比和可能的联系。

Set-valued tableaux formulas play an important role in Schubert calculus. Using the box greedy reduced word for the construction of the Macdonald polynomials, we convert the alcove walk formula for Macdonald polynomials to a set-valued tableaux formula for Macdonald polynomials. Our hope is that providing set-valued tableaux formulas for Macdonald polynomials will help to strengthen the analogies and possible connections between the calculus of Macdonald polynomials and Schubert calculus.

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