Lecture hall partitions and the affine hyperoctahedral group

被引：0

作者：

Hanusa, Christopher R. H. ^{[1
]}

Savage, Carla D. ^{[2
]}

机构：

[1] CUNY Queens Coll, Dept Math, 65-30 Kissena Blvd, Flushing, NY 11367 USA

[2] North Carolina State Univ, Dept Comp Sci, Raleigh, NC 27695 USA

来源：

ELECTRONIC JOURNAL OF COMBINATORICS | 2018年 / 25卷 / 01期

关键词：

hyperoctahedral group; affine hyperoctahedral group; signed permutations; lecture hall partition; s-lecture hall partition; truncated lecture hall partitions; inversions; descent set; quadratic statistic; Coxeter groups; Type C; Bott's formula; inv; amaj; lhp; comaj; EULERIAN POLYNOMIALS; SERIES;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In 1997 Bousquet-Melou and Eriksson introduced lecture hall partitions as the inversion vectors of elements of the parabolic quotient (C)over-tilde/C. We provide a new view of their correspondence that allows results in one domain to be translated into the other. We determine the equivalence between combinatorial statistics in each domain and use this correspondence to translate certain generating function formulas on lecture hall partitions to new observations about (C)over-tilde/C.

引用

页数：19