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THE p-MODULAR DESCENT ALGEBRA OF THE SYMMETRIC GROUP

Published online by Cambridge University Press:  01 July 1997

M. D. ATKINSON  and
S. J. VAN WILLIGENBURG
M. D. ATKINSON
Affiliation:
Mathematical Institute, University of St Andrews, North Haugh, St Andrews, Fife KY16 9SS
S. J. VAN WILLIGENBURG
Affiliation:
Mathematical Institute, University of St Andrews, North Haugh, St Andrews, Fife KY16 9SS
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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.

Type
Research Article
Information
Bulletin of the London Mathematical Society , Volume 29 , Issue 4 , July 1997 , pp. 407 - 414
Copyright
© The London Mathematical Society 1997

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