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The p‐Modular Descent Algebra of the Symmetric Group

The p‐Modular Descent Algebra of the Symmetric Group 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. 1991 Mathematics Subject Classification 20F32. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the London Mathematical Society Wiley

The p‐Modular Descent Algebra of the Symmetric Group

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References (9)

Publisher
Wiley
Copyright
© London Mathematical Society
ISSN
0024-6093
eISSN
1469-2120
DOI
10.1112/S0024609396002858
Publisher site
See Article on Publisher Site

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. 1991 Mathematics Subject Classification 20F32.

Journal

Bulletin of the London Mathematical SocietyWiley

Published: Jul 1, 1997

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