Peer-Reviewed Journal Details
Mandatory Fields
Atkinson, MD,Pfeiffer, G,Van Willigenburg, SJ
2002
March
Algebras And Representation Theory
The p-modular descent algebras
Published
()
Optional Fields
descent algebra finite field Coxeter group Cartan matrix HYPEROCTAHEDRAL GROUP SYMMETRICAL FUNCTIONS DECOMPOSITION
5
101
113
The concept of descent algebras over a field of characteristic zero is extended to define descent algebras over a field of prime characteristic. Some basic algebraic structure of the latter, including its radical and irreducible modules, is then determined, The decomposition matrix of the descent aloebras of Coxeter group types A. B, and D are calculated, and used to derive a description of the decomposition matrix of an arbitrary descent algebra. The Cartan matrix of a variety of descent algebras over a finite field is then obtained.
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