Affordable Access

The p-modular Descent Algebra of the Symmetric Group

Authors
  • Atkinson, M. D.
  • van Willigenburg, S. J.
Type
Published Article
Publication Date
Jun 18, 2007
Submission Date
Jun 18, 2007
Source
arXiv
License
Unknown
External links

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.

Report this publication

Statistics

Seen <100 times