The p-modular Descent Algebra of the Symmetric Group

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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.
8 pages

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Combinatorics, 20F32

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http://salesiana.dossiersoluciones.com/handle/123456789/131990

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0706.2707
 http://arxiv.org/abs/0706.2707
 Bull. of the London Math. Soc. 29:407-414 (1997)

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arXiv