Irreducible symmetric group characters of rectangular shape.

zbMath1068.20017arXivmath/0109093MaRDI QIDQ1778039

Richard P. Stanley

Publication date: 26 May 2005

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0109093

zbMATH Keywords

symmetric groupsirreducible complex charactersYoung diagramshook lengthsnormalized characterspartitions of rectangular shape

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30)

Related Items (18)

Combinatorial interpretation and positivity of Kerov's character polynomials ⋮ Skew Howe duality and random rectangular Young tableaux ⋮ Shifted symmetric functions and multirectangular coordinates of Young diagrams ⋮ Positivity results for Stanley's character polynomials ⋮ Symmetric group characters of almost square shape ⋮ Bijection between trees in Stanley character formula and factorizations of a cycle ⋮ Stanley's character polynomials and coloured factorisations in the symmetric group ⋮ Upper bound on the characters of the symmetric groups for balanced Young diagrams and a generalized Frobenius formula. ⋮ Random matrices associated to Young diagrams ⋮ Asymptotics of characters of symmetric groups related to Stanley character formula ⋮ Zonal polynomials via Stanley's coordinates and free cumulants ⋮ Bijective enumeration of some colored permutations given by the product of two long cycles ⋮ Stanley's formula for characters of the symmetric group. ⋮ Explicit combinatorial interpretation of Kerov character polynomials as numbers of permutation factorizations ⋮ Bijection between trees in Stanley character formula and factorizations of a cycle ⋮ Linear versus spin: representation theory of the symmetric groups ⋮ Stanley character formula for the spin characters of the symmetric groups ⋮ Quasi-symmetric functions as polynomial functions on Young diagrams

This page was built for publication: Irreducible symmetric group characters of rectangular shape.