Browsing Mathematics (Scholarly Articles) by Subject "COMPUTATIONS"

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 invariants of the cohomology of complements of Coxeter arrangements 

      Douglass, J. Matthew; Pfeiffer, Götz; Röhrle, Gerhard (Elsevier, 2019-05-24)
      We refine Brieskorn's study of the cohomology of the complement of the reflection arrangement of a finite Coxeter group W. As a result we complete the verification of a conjecture by Felder and Veselov that gives an explicit ...