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1、FromLieAlgebrastoQuantumGroupsHelenaAlbuquerqueSamuelLopesJoanaTelesCoimbra,Portugal,28-30June,200628ISBN:978-989-95011-1-9Título:FromLieAlgebrastoQuantumGroupsAutor:Albuquerque,Helena;Lopes,Samuel;Teles,JoanaData:08-05-2007Editor:CentroInternacionaldeMatemáticaMorada:AlmasdeFreir
2、e,CoimbraCódigoPostal:3040COIMBRACorreioElectrónico:cim@mat.uc.ptTelefone:239802370Fax:239445380ContentsForeword1HelenaAlbuquerqueFromCliffordalgebrastoCayleyalgebras3IsabelCunha,AlbertoElduqueFreudenthal’smagicsupersquareincharacteristic317G.LuztigOngradedLiealgebrasandintersectio
3、ncohomology27CarlosMoreno,JoanaTelesOnthequantizationofaclassofnon-degeneratetriangularLiebialgebrasoverIK[[~]]33J.M.CasasOnthecentralextensionofLeibnizn-algebras57CristinaDraper,C´andidoMartinFinegradingsonsomeexceptionalalgebras79VadimKaimanovich,PedroFreitasNotesonageneralcompa
4、ctificationofsymmetricspaces93DarrenFunk-NeubauerTridiagonalpairs,theq-tetrahedronalgebra,Uq(sl2),andUq(slb2)99DimitriGurevich,PavelSaponovQuantumLiealgebrasviamodifiedreflectionequationalgebra107St´ephaneLaunoisOntheautomorphismgroupsofq-envelopingalgebrasofnilpotentLiealgebras125An
5、tonioFern´andezLop´ez,EstherGarc´ıa,MiguelG´omezLozanoAnArtiniantheoryforLiealgebras145J.N.AlonsoAlvar´ez,J.M.Fern´andezVilaboa,R.Gonz´alezRodriguezQuantumgrupoidswithprojection151NatashaRozhkovskayaShifteddeterminantsoveruniversalenvelopingalgebra175ErhardNeher,MaribelToc´onGrade
6、d-simpleLiealgebrasoftypeB2andJordansystemscoveredbyatriangle187FilippoVivianiRestrictedsimpleLiealgebrasandtheirinfinitesimaldeformations197WorkshopFromLieAlgebrastoQuantumGroupsHelenaAlbuquerque∗SamuelLopes†JoanaTeles‡ForewordThisworkshopbroughttogetherleadingspecialistsinthetopi
7、csofLiealgebras,quantumgroupsandrelatedareas.Itaimedtopresentthelatestdevelopmentsintheseareasaswellastostimulatetheinteractionbetweenyoungresearchersandestablishedspecialists.Weremarkonthesignificantrolethat,forthelastdecades,thetheoryofalgebrashasplayedinthedevelopmentofsomeareas
8、ofphysics,andconversely,theimport
