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Computations for Coxeter arrangements and Solomon's descent algebra III: Groups of rank seven and eight
(Elsevier, 2014-11-06)
In this paper we extend the computations in parts I and II of this series of papers and complete the proof of a conjecture of Lehrer and Solomon expressing the character of a finite Coxeter group W acting on the p-th graded ...
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 ...
Accessing the cohomology of discrete groups above their virtual cohomological dimension
(2014)
We introduce a method to explicitly determine the Farrell-Tate cohomology of discrete groups. We apply this method to the Coxeter triangle and tetrahedral groups as well as to the Bianchi groups, i.e. PSL_2 over the ring ...
Complexifiable characteristic classes
(Springer, 2014-01)
We examine the topological characteristic cohomology classes of complexified vector bundles. In particular, all the classes coming from the real vector bundles underlying the complexification are determined.