Combinatorial aspects of skew representations of the symmetric group

A. M. Garsia, Michelle L Galloway

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

We give here a very simple combinatorial construction of the skew representations of Sn. For the case of hook shapes we give a purely combinatorial proof that our construction does give a representation. In the general case our proof is in terms of A. Young's natural units. One of the biproducts of our construction is an elementary and direct proof of the Murnaghan-Nakayama rule for the character of a general skew representation.

Original languageEnglish (US)
Pages (from-to)47-81
Number of pages35
JournalJournal of Combinatorial Theory, Series A
Volume50
Issue number1
DOIs
StatePublished - 1989
Externally publishedYes

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Symmetric group
Skew
Hooks
Unit

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Theoretical Computer Science

Cite this

Combinatorial aspects of skew representations of the symmetric group. / Garsia, A. M.; Galloway, Michelle L.

In: Journal of Combinatorial Theory, Series A, Vol. 50, No. 1, 1989, p. 47-81.

Research output: Contribution to journalArticle

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