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.
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页码：1943 / 1951
页数：9
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