Browsing Mathematics (Scholarly Articles) by Subject "DECOMPOSITION"

Now showing items 1-2 of 2

    • Cohomology of Coxeter arrangements and Solomon's descent algebra 

      Douglass, J. Matthew; Pfeiffer, Götz; Röhrle, Gerhard (American Mathematical Society, 2014-06-19)
      We refine a conjecture by Lehrer and Solomon on the structure of the Orlik-Solomon algebra of a finite Coxeter group W and relate it to the descent algebra of W. As a result, we claim that both the group algebra of W and ...

    • 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 ...