The p-Modular Descent Algebras

@article{Atkinson2002ThePD,
  title={The p-Modular Descent Algebras},
  author={Malcolm D. Atkinson and Gotz Pfeiffer and S. J. van Willigenburg},
  journal={Algebras and Representation Theory},
  year={2002},
  volume={5},
  pages={101-113}
}
  • Malcolm D. Atkinson, Gotz Pfeiffer, S. J. van Willigenburg
  • Published 2002
  • Mathematics
  • Algebras and Representation Theory
  • 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 algebras 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… CONTINUE READING

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