Browsing School of Mathematics, Statistics and Applied Mathematics by Subject "CENTRALIZERS"

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    • 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 ...

    • 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 ...