Browsing Mathematics by Subject "PARABOLIC SUBGROUPS"
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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 ... 
A note on element centralizers in finite Coxeter groups
(De Gruyter, 20110829)The normalizer NW(WJ) of a standard parabolic subgroup WJ of a finite Coxeter group W splits over the parabolic subgroup with complement NJ consisting of certain minimal length coset representatives of WJ in W. In ...