一般线性群的痴呆字符的Monk规则

IF 0.7 4区数学 Q2 MATHEMATICS

Electronic Journal of Combinatorics Pub Date : 2023-06-30 DOI:10.37236/11425

Sami H. Assaf, Danjoseph Quijada

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引用次数: 1

摘要

关键多项式是泛化舒尔多项式的一般线性群的Demazure模的特征。通过给出任意键多项式与一次键多项式乘积的键多项式展开式的一个无消去、无重性的公式，证明了Monk规则的非对称推广。

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Monk's Rule for Demazure Characters of the General Linear Group

Key polynomials are characters of Demazure modules for the general linear group that generalize the Schur polynomials. We prove a nonsymmetric generalization of Monk's rule by giving a cancellation-free, multiplicity-free formula for the key polynomial expansion of the product of an arbitrary key polynomial with a degree one key polynomial.

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来源期刊

Electronic Journal of Combinatorics 数学-数学

CiteScore

1.30

自引率

14.30%

发文量

212

审稿时长

3-6 weeks

期刊介绍： The Electronic Journal of Combinatorics (E-JC) is a fully-refereed electronic journal with very high standards, publishing papers of substantial content and interest in all branches of discrete mathematics, including combinatorics, graph theory, and algorithms for combinatorial problems.