UNIMODALITY AND YOUNG LATTICE

被引：18

作者：

STANTON, D

机构：

[1] School of Mathematics, University of Minnesota, Minneapolis

来源：

JOURNAL OF COMBINATORIAL THEORY SERIES A | 1990年 / 54卷 / 01期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0097-3165(90)90004-G

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Young's lattice of a partition λ consists of all partitions whose Ferrers diagrams fit inside λ. Several infinite families of partitions are given whose Young's lattice is not rank unimodal. Some related problems are discussed. © 1990.

引用

页码：41 / 53

页数：13

共 8 条

[1]

Andrews G. E., 1976, ENCY MATH ITS APPL, V2

[2]

Carlitz L., 1972, FIBONACCI QUART, V10, P531

[3] Q-CATALAN NUMBERS [J].

FURLINGER, J ;

HOFBAUER, J .

JOURNAL OF COMBINATORIAL THEORY SERIES A, 1985, 40 (02) :248-264

[4]

POLYA G, 1972, PROBLEMS THEOREMS AN, V1

[5]

STANLEY R, IN PRESS LOG CONCAVE

[6]

Stanley R.P, 1986, ENUMERATIVE COMBINAT, V1

[7] WEYL GROUPS, THE HARD LEFSCHETZ THEOREM, AND THE SPERNER PROPERTY [J].

STANLEY, RP .

SIAM JOURNAL ON ALGEBRAIC AND DISCRETE METHODS, 1980, 1 (02) :168-184

[8]

Wright E., 1979, INTRO THEORY NUMBERS

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