The Eulerian Distribution on the Involutions of the Hyperoctahedral Group is Indeed γ-Positive

被引：0

作者：

Cao, Jie ^{[1
]}

Liu, Lily Li ^{[1
]}

机构：

[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China

来源：

GRAPHS AND COMBINATORICS | 2021年 / 37卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Involution; gamma-Positivity; Hyperoctahedral Group;

D O I：

10.1007/s00373-020-02258-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let I-n(B) denote the set of the involutions of the hyperoctahedral group B-n, and let des(B)(pi) denote the number of descents of the permutation pi is an element of B-n. We settle a problem of Moustakas which states that I-n(B)(t) := Sigma(pi is an element of InB) t(desB(pi)) is gamma-positive for n >= 1.

引用

页码：1943 / 1951

页数：9

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