On_generators_and_relations_for_certain_involutory_subalge-_bras_of_Kac-Moody_Lie_algebras

On_generators_and_relations_for_certain_involutory_subalge-_bras_of_Kac-Moody_Lie_algebras

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1、Thisarticlewasdownloadedby:[SeoulNationalUniversity]On:24July2011,At:08:27Publisher:Taylor&FrancisInformaLtdRegisteredinEnglandandWalesRegisteredNumber:1072954Registeredoffice:MortimerHouse,37-41MortimerStreet,LondonW1T3JH,UKCommunicationsinAlgebraPublicationdetails,includinginstructionsforaut

2、horsandsubscriptioninformation:http://www.tandfonline.com/loi/lagb20Ongeneratorsandrelationsforcertaininvolutorysubalgebrasofkac-moodyliealgebrasaS.BermanaDepartmentofMathematics,UniversityofSaskatchewan,Saskatoon,Saskatchewan,S7N0W0,CanadaAvailableonline:27Jun2007Tocitethisarticle:S.Berman(19

3、89):Ongeneratorsandrelationsforcertaininvolutorysubalgebrasofkac-moodyliealgebras,CommunicationsinAlgebra,17:12,3165-3185Tolinktothisarticle:http://dx.doi.org/10.1080/00927878908823899PLEASESCROLLDOWNFORARTICLEFulltermsandconditionsofuse:http://www.tandfonline.com/page/terms-and-conditionsThis

4、articlemaybeusedforresearch,teachingandprivatestudypurposes.Anysubstantialorsystematicreproduction,re-distribution,re-selling,loan,sub-licensing,systematicsupplyordistributioninanyformtoanyoneisexpresslyforbidden.Thepublisherdoesnotgiveanywarrantyexpressorimpliedormakeanyrepresentationthatthec

5、ontentswillbecompleteoraccurateoruptodate.Theaccuracyofanyinstructions,formulaeanddrugdosesshouldbeindependentlyverifiedwithprimarysources.Thepublishershallnotbeliableforanyloss,actions,claims,proceedings,demandorcostsordamageswhatsoeverorhowsoevercausedarisingdirectlyorindirectlyinconnectionw

6、ithorarisingoutoftheuseofthismaterial.COMMUNICATIONSINALGEBRA,17(12),3165-3185(1989)OngeneratorsandrelationsforcertaininvolutorysubalgebrasofKac-MoodyLieAlgebras*S.BermanDepartmentofMathematicsUniversityofSaskatchewanSaskatoon,SaskatchewanS7NOW0CanadaDedicatedtoProfessorEiichiAbeAbstractWefind

7、generatorsandrelationsforthosesubalgebrasofKac-MoodyLiealgebrasthatarethefixedpointalgebrasofcertaininvolutions.SpecificallytheinvolutionmustinvolvetheCartaninvolutionwhichinterchangesthepositiveandnegativegenerators.Wegoontoapplytheser

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