On the quiver of the descent algebra

Details On the quiver of the descent algebra On the quiver of the descent algebra

2007-08-30

arxiv.org/abs/0708.4213v2

Mathematics

Representation Theory

31 pages, LaTeX; major revision; to appear in Journal of Algebra

Scientific paper

We study the quiver of the descent algebra of a finite Coxeter group W. The
results include a derivation of the quiver of the descent algebra of types A
and B. Our approach is to study the descent algebra as an algebra constructed
from the reflection arrangement associated to W.

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