dc.contributor.author | Douglass, J. Matthew | |
dc.contributor.author | Pfeiffer, Götz | |
dc.contributor.author | Röhrle, Gerhard | |
dc.date.accessioned | 2018-09-20T16:06:27Z | |
dc.date.available | 2018-09-20T16:06:27Z | |
dc.date.issued | 2014-06-19 | |
dc.identifier.citation | Douglass, J. Matthew; Pfeiffer, Götz; Röhrle, Gerhard (2014). Cohomology of coxeter arrangements and solomon’s descent algebra. Transactions of the American Mathematical Society 366 (10), 5379-5407 | |
dc.identifier.issn | 0002-9947,1088-6850 | |
dc.identifier.uri | http://hdl.handle.net/10379/11244 | |
dc.description.abstract | 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 the Orlik-Solomon algebra of W can be decomposed into a sum of induced one-dimensional representations of element centralizers, one for each conjugacy class of elements of W. We give a uniform proof of the claim for symmetric groups. In addition, we prove that a relative version of the conjecture holds for every pair (W, W-L), where W is arbitrary and W-L is a parabolic subgroup of W, all of whose irreducible factors are of type A. | |
dc.publisher | American Mathematical Society (AMS) | |
dc.relation.ispartof | Transactions of the American Mathematical Society | |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Ireland | |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/3.0/ie/ | |
dc.subject | hochschild homology | |
dc.subject | hyperplanes | |
dc.subject | decomposition | |
dc.subject | computations | |
dc.subject | centralizers | |
dc.subject | complements | |
dc.subject | ring | |
dc.title | Cohomology of coxeter arrangements and solomon’s descent algebra | |
dc.type | Article | |
dc.identifier.doi | 10.1090/s0002-9947-2014-06060-1 | |
dc.local.publishedsource | http://arxiv.org/pdf/1101.2075 | |
nui.item.downloads | 0 | |