A statistic on the roots of a finite reflection group and a correspondence between the height function and Bruhat order

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dc.creatorSterling, Mark
dc.date2008-03-06
dc.date2008-03-12
dc.date.accessioned2026-07-07T09:26:06Z
dc.date.available2026-07-07T09:26:06Z
dc.descriptionThe action of a finite reflection group (type A) on its set of roots is understood as a permutation representation or group action. We show that this representation is an induced representation from a certain kind of parabolic subgroup. Furthermore, we use this representation to define a statistic (derived from the length function) on the set of roots. A possible application to Costas Arrays is hinted at in a proposition.
dc.identifierhttps://arxiv.org/abs/0803.0782
dc.identifierhttp://arxiv.org/abs/0803.0782
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156631
dc.subjectCombinatorics
dc.subjectGroup Theory
dc.subject20F55
dc.titleA statistic on the roots of a finite reflection group and a correspondence between the height function and Bruhat order
dc.typetext

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