Browsing Mathematics (Scholarly Articles) by Author "Bishop, Marcus"
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Computations for Coxeter arrangements and Solomon's descent algebra II: Groups of rank five and six
Bishop, Marcus; Douglass, J. Matthew; Pfeiffer, Götz; Röhrle, Gerhard (Elsevier, 2013-01-08)In recent papers we have refined a conjecture of Lehrer and Solomon expressing the character of a finite Coxeter group W acting on the graded components of its Orlik-Solomon algebra as a sum of characters induced from ... -
Computations for Coxeter arrangements and Solomon's descent algebra III: Groups of rank seven and eight
Bishop, Marcus; Douglass, J. Matthew; Pfeiffer, Götz; Röhrle, Gerhard (Elsevier, 2014-11-06)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 finite Coxeter group W acting on the p-th graded ... -
Computations for Coxeter arrangements and Solomon's descent algebra: Groups of rank three and four
Bishop, Marcus; Douglass, J. Matthew; Pfeiffer, Götz; Röhrle, Gerhard (Elsevier, 2012-06-03)In recent papers we have refined a conjecture of Lehrer and Solomon expressing the characters of a finite Coxeter group W afforded by the homogeneous components of its Orlik-Solomon algebra as sums of characters induced ... -
On the quiver presentation of the descent algebra of the symmetric group
Bishop, Marcus; Pfeiffer, Götz (Elsevier, 2013-03-18)We describe a presentation of the descent algebra of the symmetric group G(n) as a quiver with relations. This presentation arises from a new construction of the descent algebra as a homomorphic image of an algebra of ...