On Mullineux symbols
type: Item
instance of: scholarly article
title: On Mullineux symbols
zbMATH Open document ID: 0811.05004
DOI: 10.1016/0097-3165(94)90110-4
author: Christine Bessenrodt
author: Jørn B. Olsson
published in: Journal of Combinatorial Theory. Series A
publication date: 1994-11-30T00:00:00Z
review text: For ordinary partitions represented by Ferrers graphs, conjugation is a fundamental involution. A \(p\)-regular partition is one whose parts are repeated less than \(p\)-times. In 1979 Mullineux defined an involution on \(p\)-regular partitions by considering certain symbols attached to such partitions. In this paper, by classifying the Mullineux symbols for a class of \(p\)-regular partitions, two conjectures in the representation theory of symmetric groups \(S_ n\) are shown to be compatible.
reviewed by: Krishnaswami Alladi
Mathematics Subject Classification ID: 05A17
Mathematics Subject Classification ID: 20C20
Mathematics Subject Classification ID: 20B30
zbMATH DE Number: 679880
zbMATH Keywords: involution
zbMATH Keywords: Mullineux symbols
zbMATH Keywords: \(p\)-regular partitions
zbMATH Keywords: symmetric groups
MaRDI profile type: Publication
full work available at URL: 0097-3165(94)90110-4
OpenAlex ID: W2086020107
cites work: Q3483443
cites work: On Schur algebras and related algebras. II
cites work: Q3952291
cites work: On the Representation Theory of the Symmetric Groups
cites work: ORDINARY QUIVERS FOR SYMMETRIC GROUPS II
cites work: Bijections of p -Regular Partitions and p -Modular Irreducibles of the Symmetric Groups
cites work: On the p -Cores of p -Regular Diagrams
description: scientific article; zbMATH DE number 679880