Browsing College of Science by Subject "Descent algebra"
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Computations for Coxeter arrangements and Solomon's descent algebra II: Groups of rank five and six
(Elsevier, 20130108)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 OrlikSolomon algebra as a sum of characters induced from ... 
Computations for Coxeter arrangements and Solomon's descent algebra III: Groups of rank seven and eight
(Elsevier, 20141106)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 pth graded ... 
Computations for Coxeter arrangements and Solomon's descent algebra: Groups of rank three and four
(Elsevier, 20120603)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 OrlikSolomon algebra as sums of characters induced ... 
An inductive approach to Coxeter arrangements and Solomon's descent algebra
(Springer Verlag, 20120720)In our recent paper (Douglass et al. arXiv: 1101.2075 (2011)), we claimed that both the group algebra of a finite Coxeter group W as well as the OrlikSolomon algebra of W can be decomposed into a sum of induced onedimensional ... 
On the quiver presentation of the descent algebra of the symmetric group
(Elsevier, 20130318)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 ... 
A quiver presentation for Solomon's descent algebra
(Elsvier, 2009)The descent algebra S(W) is a subalgebra of the group algebra of a finite Coxeter group W, which supports a homomorphism with nilpotent kernel and commutative image in the character ring of W. Thus S(W) is a basic algebra, ...