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Computations for Coxeter arrangements and Solomon's descent algebra: Groups of rank three and four
Marcus Bishop, J. Matthew Douglass, Goetz Pfeiffer +1
In recent papers we have refined a conjecture of Lehrer and Solomon expressing the characters of a finite Coxeter group afforded by the homogeneous components of its Orlik-Solo…
On reflection subgroups of finite Coxeter groups
J. Matthew Douglass, Goetz Pfeiffer, Gerhard Roehrle
Let be a finite Coxeter group. We classify the reflection subgroups of up to conjugacy and give necessary and sufficient conditions for the map that assigns to a reflection…
Cohomology of Coxeter arrangements and Solomon's descent algebra
J. Matthew Douglass, Goetz Pfeiffer, Gerhard Roehrle
We refine a conjecture by Lehrer and Solomon on the structure of the Orlik-Solomon algebra of a finite Coxeter group and relate it to the descent algebra of . As a result, w…