; TeX output 2014.06.19:2333 6html: html:f荍t
덑
html: html:* "N cmbx12AٚNUMERICALINV ARIANT r:F ORٚLINEARREPRESENT ATIONS OFٚFINITEGR OUPS gK`y
cmr10NIKIT*AUUA.KARPENKOANDZINOVYREICHSTEIN `$ -
cmcsc10Abstract.\`W*eFstudythenotionofessentialFdimensionforalinearrepresentationof $ anitegroup.wIncharacteristiczerowerelateittothecanonicaldimensionofcertain$ proGducts=of=W*eiltransfersofgeneralizedSeveri-Brauervqarieties.*W*ethenproGceedto$ computeYtheYcanonicaldimensionofabroadclassofvqarietiesofthistypGe,extending$ earlierNresultsoftherstMauthor.=Asaconsequence,Kweproveanaloguesofclassical$ theoremsqofR.BrauerrandO.SchillingabGouttheSchurrindex,8wheretheSchurindex$ ofarepresentationisreplacedbyitsessentialdimension."Inthelastsectionweshow$ that&aessential&`dimensionofrepresentationscanbGehave&ainratherunexpGectedwaysin&athe$ moGdularUUsetting. Vhtml: html: