The p-modular Descent Algebra of the Symmetric Group

Details The p-modular Descent Algebra of the Symmetric Group The p-modular Descent Algebra of the Symmetric Group

2007-06-19

arxiv.org/abs/0706.2707v1

Bull. of the London Math. Soc. 29:407-414 (1997)

Mathematics

Combinatorics

8 pages

Scientific paper

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.

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