On the stability of homogeneous vector bundles
[摘要] Let$G$beaconnectedsemisimplelinearalgebraicgroupoveranalgebraicallyclosedfield$k$and$P,subset,G$aparabolicsubgroupwithoutanysimplefactor.Let$V$beanirreducible$P$--moduleand$E_P(V)=(GimesV)/P$theassociatedvectorbundleover$G/P$.Weprovethat$E_P(V)$isstablewithrespecttoanypolarizationon$G/P$.Incite{Um}thiswasprovedundertheassumptionthatthecharacteristicof$k$iszeroandthequestionwasaskedwhetheritremainsvalidwhenthecharacteristicispositive.
[发布日期] [发布机构]
[效力级别] [学科分类] 数学（综合）
[关键词] Homogeneous bundle;parabolic subgroup;stability [时效性]
