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math.GR2012★ 5 cited
On the Quiver Presentation of the Descent Algebra of the Symmetric Group
Marcus Bishop, Götz Pfeiffer
We describe a presentation for the descent algebra of the symmetric group $\sym{n}$ as a quiver with relations. This presentation arises from a new construction of the descent alge…
math.RT2012★ 4 cited
Computations for Coxeter arrangements and Solomon's descent algebra II: Groups of rank five and six
Marcus Bishop, J. Matthew Douglass, Goetz Pfeiffer +1
In recent papers we have refined a conjecture of Lehrer and Solomon expressing the character of a finite Coxeter group acting on the th graded component of its Orlik-Solomon…