Grassmann型Grothendieck多项式的Murnaghan–Nakayama规则

Pub Date : 2023-07-25 DOI:10.1007/s00026-023-00659-x

Duc-Khanh Nguyen, Dang Tuan Hiep, Tran Ha Son, Do Le Hai Thuy

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摘要

我们考虑格拉斯曼 K 理论中出现的格罗根底克多项式，它们是舒尔多项式的类似物。本文旨在为格拉斯曼类型的格罗thendieck 多项式建立一个版本的 Murnaghan-Nakayama 规则。通过这一规则，我们可以将格罗内迪克多项式与幂和对称多项式的乘积表示为其他格罗内迪克多项式的线性组合。

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A Murnaghan–Nakayama Rule for Grothendieck Polynomials of Grassmannian Type

We consider the Grothendieck polynomials appearing in the K-theory of Grassmannians, which are analogs of Schur polynomials. This paper aims to establish a version of the Murnaghan–Nakayama rule for Grothendieck polynomials of the Grassmannian type. This rule allows us to express the product of a Grothendieck polynomial with a power-sum symmetric polynomial into a linear combination of other Grothendieck polynomials.

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