Browsing School of Mathematics, Statistics and Applied Mathematics by Subject "HYPERPLANES"
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Cohomology of Coxeter arrangements and Solomon's descent algebra
(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
(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 ...