AN EMBEDDING THEOREM BETWEEN SPECIAL LINEAR GROUPS OVER ANY FIELDS-中国期刊网

摘要 AbstracthomornorphismsbetweensubgroupsofalgebraicgroupswerestudiedindetailbyA.Borel,J.Tits^(1)andB.Weisfeiler^(2)providedthattheimagesofthehomomorphismsareZariskidensesubsetsandthatthefieldsoverwhichalgebraiegroupsaredefinedareinfinite,ThepurposeofthispaperistodetermineallembeddinghomomorphismsofSLn(κ)intoSLn(K)whenκandKareanyfieldsofthesamecharacteristic,withoutassumptionofZariskidensityandinfinitudeoffields.TheresultinthispapergeneralizesaresultofChenYuonhomomorphismsoftwodimensionallineargroups^(3).

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AN EMBEDDING THEOREM BETWEEN SPECIAL LINEAR GROUPS OVER ANY FIELDS

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AN EMBEDDING THEOREM BETWEEN SPECIAL LINEAR GROUPS OVER ANY FIELDS

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