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1、WTextsandMonographsinSymbolicComputationASeriesoftheResearchInstituteforSymbolicComputation,JohannesKeplerUniversity,Linz,AustriaEditedbyP.PauleBerndSturmfelsAlgorithmsinInvariantTheorySecondeditionSpringerWienNewYorkDr.BerndSturmfelsDepartmentofMathematicsUniversit
2、yofCalifornia,Berkeley,California,U.S.A.Thisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,specif-icallythoseoftranslation,reprinting,re-useofillustrations,broadcasting,reproductionbyphotocopyingmachinesorsimilarmeans,and
3、storageindatabanks.ProductLiability:Thepublishercangivenoguaranteeforalltheinformationcontainedinthisbook.Thisalsoreferstothatondrugdosageandapplicationthereof.Ineachindividualcasetherespectiveusermustchecktheaccuracyoftheinformationgivenbyconsultingotherpharmaceuti
4、calliterature.Theuseofregisterednames,trademarks,etc.inthispublicationdoesnotimply,evenintheabsenceofaspeci?cstatement,thatsuchnamesareexemptfromtherelevantprotectivelawsandregulationsandthereforefreeforgeneraluse.?1993and2008Springer-Verlag/WienPrintedinGermanySpri
5、ngerWienNewYorkisapartofSpringerScience+BusinessMediaspringer.atTypesettingbyHDEcker:TeXtservices,BonnPrintedbyStraussGmbH,M?rlenbach,DeutschlandPrintedonacid-freepaperSPIN12185696With5FiguresLibraryofCongressControlNumber2007941496ISSN0943-853XISBN978-3-211-77416-8
6、SpringerWienNewYorkISBN3-211-82445-61stedn.SpringerWienNewYorkPrefaceTheaimofthismonographistoprovideanintroductiontosomefundamentalproblems,resultsandalgorithmsofinvarianttheory.Thefocuswillbeonthethreefollowingaspects:(i)Algebraicalgorithmsininvarianttheory,inpart
7、icularalgorithmsarisingfromthetheoryofGr?bnerbases;(ii)Combinatorialalgorithmsininvarianttheory,suchasthestraighteningal-gorithm,whichrelatetorepresentationtheoryofthegenerallineargroup;(iii)Applicationstoprojectivegeometry.Partofthismaterialwascoveredinagraduatecou
8、rsewhichItaughtatRISC-Linzinthespringof1989andatCornellUniversityinthefallof1989.Thespeci?cselectionoftopicshasbeendeterminedbymypersonalt
