dc.contributor.author | Konvalinka, Matjaž | |
dc.contributor.author | Pfeiffer, Götz | |
dc.contributor.author | Röver, Claas E. | |
dc.date.accessioned | 2017-12-05T12:28:45Z | |
dc.date.available | 2017-12-05T12:28:45Z | |
dc.date.issued | 2011-08-29 | |
dc.identifier.citation | Konvalinka, Matjaž, Pfeiffer, Götz, & Röver Claas, E. (2011). A note on element centralizers in finite Coxeter groups, Journal of Group Theory (Vol. 14, pp. 727), DOI: 10.1515/jgt.2010.074 | en_IE |
dc.identifier.issn | 1435-4446 | |
dc.identifier.uri | http://hdl.handle.net/10379/7011 | |
dc.description.abstract | 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 this note we show that (with the exception of a small number of cases arising from a situation in Coxeter groups of type D-n) the centralizer C-W(w) of an element w epsilon W is in a similar way a semidirect product of the centralizer of w in a suitable small parabolic subgroup W-J with complement isomorphic to the normalizer complement N-J. Then we use this result to give a new short proof of Solomon's Character Formula and discuss its connection to MacMahon's master theorem. | en_IE |
dc.description.sponsorship | The second author wishes to acknowledge support from Science
Foundation Ireland. | en_IE |
dc.format | application/pdf | en_IE |
dc.language.iso | en | en_IE |
dc.publisher | De Gruyter | en_IE |
dc.relation.ispartof | Journal Of Group Theory | en |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Ireland | |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/3.0/ie/ | |
dc.subject | PARABOLIC SUBGROUPS | en_IE |
dc.subject | NORMALIZERS | en_IE |
dc.subject | INVOLUTIONS | en_IE |
dc.subject | Mathematics | en_IE |
dc.title | A note on element centralizers in finite Coxeter groups | en_IE |
dc.type | Article | en_IE |
dc.date.updated | 2017-12-04T14:25:35Z | |
dc.identifier.doi | 10.1515/jgt.2010.074 | |
dc.local.publishedsource | https://doi.org/10.1515/jgt.2010.074 | en_IE |
dc.description.peer-reviewed | peer-reviewed | |
dc.contributor.funder | |~| | |
dc.internal.rssid | 1051645 | |
dc.local.contact | Gotz Pfeiffer, Dept. Of Mathematics, Room C208, Áras De Brún, Nui Galway. 3591 Email: goetz.pfeiffer@nuigalway.ie | |
dc.local.copyrightchecked | Yes | |
dc.local.version | ACCEPTED | |
nui.item.downloads | 1050 | |