5 citations · 9 across the 4 of their papers we have counts for
5 papers
Computations for Coxeter arrangements and Solomon's descent algebra III: Groups of rank seven and eight
Marcus Bishop, J. Matthew Douglass, Goetz Pfeiffer +1
In this paper we extend the computations in parts I and II of this series of papers and complete the proof of a conjecture of Lehrer and Solomon expressing the character of a finit…
On the Quiver Presentation of the Descent Algebra of the Hyperoctahedral Group
Marcus Bishop
In a recent article we introduced a mechanism for producing a presentation of the descent algebra of the symmetric group as a quiver with relations, the mechanism arising from a ne…
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…
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…
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…