The p-modular Descent Algebra of the Symmetric Group

Michael David Atkinson, S van Willigenburg

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

The descent algebra of the symmetric group, over a field of non-zero characteristic p, is studied. A homomorphism into the algebra of generalised p-modular characters of the symmetric group is defined. This is then used to determine the radical, and its nilpotency index. It also allows the irreducible representations of the descent algebra to be described.

Original languageEnglish
Pages (from-to)407-414
Number of pages8
JournalBulletin of the London Mathematical Society
Volume29
Issue number4
DOIs
Publication statusPublished - Jul 1997

Keywords

  • SOLOMON

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