Symmetric group characters of almost square shape

被引：0

作者：

Matsumoto, Sho ^{[1
]}

Sniady, Piotr ^{[2
]}

机构：

[1] Kagoshima Univ, Grad Sch Sci & Engn, 1-21-35 Korimoto, Kagoshima 8900065, Japan

[2] Polish Acad Sci, Inst Math, Ul Sniadeckich 8, PL-00656 Warsaw, Poland

来源：

ALGEBRAIC COMBINATORICS | 2022年 / 5卷 / 04期

关键词：

Characters of the symmetric groups; rectangular Young diagrams; Stanley polynomials;

D O I：

10.5802/alco.247

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give closed product formulas for the irreducible characters of the symmetric groups related to rectangular `almost square' Young diagrams p x (p + b) for a fixed value of an integer b and an arbitrary integer p .

引用

页数：15

共 50 条

[1] THE CHARACTERS OF THE SYMMETRIC GROUP
MURNAGHAN, FD
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1951, 37 (01) : 55 - 58
[2] The characters of the symmetric group
Murnaghan, FD
AMERICAN JOURNAL OF MATHEMATICS, 1937, 59 : 739 - 753
[3] SYMMETRIC GROUP CHARACTERS
MCKAY, JKS
COMMUNICATIONS OF THE ACM, 1967, 10 (07) : 451 - &
[4] CHARACTERS OF SYMMETRIC GROUP
MURNAGHAN, FD
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1971, 68 (02) : 399 - +
[5] ON THE CHARACTERS OF THE SYMMETRIC GROUP
MURNAGHAN, FD
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1955, 41 (06) : 396 - 398
[6] Symmetric group characters as symmetric functions
Orellana, Rosa
Zabrocki, Mike
ADVANCES IN MATHEMATICS, 2021, 390
[7] On the symmetric square Unstable twisted characters
Yuval Z. Flicker
Dmitrii Zinoviev
Israel Journal of Mathematics, 2003, 134 : 307 - 315
[8] PROJECTIVE CHARACTERS OF SYMMETRIC GROUP
READ, EW
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1977, 15 (JUN): : 456 - 464
[9] SOME CHARACTERS OF THE SYMMETRIC GROUP
INGRAM, RE
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1950, 1 (03) : 358 - 369
[10] The characters of the symmetric group of order
Din, MZU
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1935, 39 : 200 - 204

← 1 2 3 4 5 →