Browsing Mathematics (Scholarly Articles) by Subject "PARABOLIC SUBGROUPS"

Now showing items 1-4 of 4

    • 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 ...

    • An inductive approach to Coxeter arrangements and Solomon's descent algebra 

      Dolan, J. Matthew; Pfeiffer, Götz; Röhrle, Gerhard (Springer Verlag, 2012-07-20)
      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 Orlik-Solomon algebra of W can be decomposed into a sum of induced one-dimensional ...

    • A note on element centralizers in finite Coxeter groups 

      Konvalinka, Matjaž; Pfeiffer, Götz; Röver, Claas E. (De Gruyter, 2011-08-29)
      The normalizer N-W(W-J) of a standard parabolic subgroup W-J of a finite Coxeter group W splits over the parabolic subgroup with complement N-J consisting of certain minimal length coset representatives of W-J in W. In ...

    • 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 ...