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dc.contributor.authorRossi, Damiano
dc.date.accessioned2023-07-17T12:18:53Z
dc.date.available2023-07-17T12:18:53Z
dc.date.issued2023-07-17
dc.identifier.urihttp://publications.mfo.de/handle/mfo/4056
dc.description.abstractIn this paper we study the simplicial complex induced by the poset of Brauer pairs ordered by inclusion for the family of finite reductive groups. In the defining characteristic case the homotopy type of this simplicial complex coincides with that of the Tits building thanks to a well-known result of Quillen. On the other hand, in the non-defining characteristic case, we show that the simplicial complex of Brauer pairs is homotopy equivalen to a simplicial complex determined by generalised Harish-Chandra theory. This extends earlier results of the author on the Brown complex and makes use of the theory of connected subpairs and twisted block induction developed by Cabanes and Enguehard.en_US
dc.description.sponsorshipThis work was carried out during a stay of the author at the Mathematisches Forschungsinstitut Oberwolfach funded by a Leibniz Fellowship. The author would like to thank Marc Cabanes for useful comments on an earlier version of this paper.en_US
dc.language.isoen_USen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relation.ispartofseriesOberwolfach Preprints;2023-12
dc.subjectSimplicial complexesen_US
dc.subjectBrauer pairsen_US
dc.subjectFinite reductive groupsen_US
dc.subjectGeneralised Harish-Chandra theoryen_US
dc.titleThe Simplicial Complex of Brauer Pairs of a Finite Reductive Groupen_US
dc.typePreprinten_US
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.de
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.en
dc.identifier.doi10.14760/OWP-2023-12
local.scientificprogramOWLF 2023en_US
local.series.idOWP-2023-12en_US
local.subject.msc20en_US
local.subject.msc55en_US
dc.identifier.urnurn:nbn:de:101:1-2024032009245145834372
dc.identifier.ppn1858140005


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