简介:Assumethateachcompletelyirrationalnoncommutativetorusisrealizedasaninductivelimitofcirclealgebras,andthatforacompletelyirrationalnoncommutativetorusAwofrankmthereareacompletelyirrationalnoncommutativetorusAρofrankmandapositiveintegerdsuchthattr(Aw)=1/d.tr(Aρ).ItisprovedthatthesetofallC^*-algebrasofsectionsoflocallytrivialC^*-algebrabundlesoverS^2withfibresAωhasagroupsturcture,denotedbyπ1^s(Aut(Aω)),whichisisomorphictoZifEd>1and{0}ifd>1.LetBcdbeacd-homogeneousC^*-algebraoverS^2×T^2ofwhichnonon-trivialmatrixalgebracanbefactoredout.ThesphericalnoncommutativetorusSρ^cdisdefinedbytwistingC^*(T2×Z^m-2)inBcd×C^*(Z^m-3)byatotallyskewmultiplierρonT^2×Z^m-2。ItisshownthatSρ^cd×Mρ∞isisomorphictoC(S^2)×C^*(T^2×Z^m-2,ρ)×Mcd(C)×Mρ∞ifandonlyifthesetofprimefactorsofcdisasubsetofthesetofprimefactorsofp.
简介:ThispapercontinuestheworkofD.MacHale,D.Flannery(Proc.R.Ir.Acad.81A,209—215;83A,189—196)andtheauthor(Proc.R.Ir.Acad,90A,57—62;J.SouthwestChinaNormalUniversity15,No.1,21.—28)onthetopicon“FinitegroupswithgivenAutomorphismgroup”.Thefollowingresultisproved:LetGbeafinitegroupwithAutGaSchmidtgroup.ThenGisisomorphictoS3orKlain4-group.,orDsuchthatAutD=InnD.DisaSchmidtgroupoforder2?p.S2(∈Syl2D)isanormalandspecialgroupexoeptasupersperspecialgroupwithoutcommutativegenerators.
简介:Itisprovedthatthereisnochaoticgroupactionsonanytopologicalspacewithfreearc.InthispaperthechaoticactionsofthegrouplikeG×F,whereFisafinitegroup,arestudied.Inparticular,underasuitableassumption,ifFisacyclicgroup,thenthetopologicalspacewhichadmitsachaoticactionofZ×Fmustadmitachatotichomeomorphism.Atopologicalspacewhichadmitsachaoticgroupactionbutadmitsnochaotichorneomorphismisconstructed.
简介:一、什么是STUDYGROUPSTUDYGROUP是牛津大学的A.B.Tayler博士和当时他的学生J.Ockendon等人在1968年创立的,它的原名是OxfordStudyGroupwithIndustry。这种活动历时一周,是由数学工作者和工业界人士参加的旨在解决实际问题的研讨会。在研讨会的第一天,由工业界代表陈述要解决的问题和目的要求,通常会有5~6个问题。后续2~3天按问题分组讨论,试图建立问题的数学模型和求解方法来解决问题。若问题比较
简介:WeknowthatforacodeC,it‘sveryimportanttofindouttheAutomorphismgroupAutCofC.However,itisverydifficulttoseekentireAutC.Inthispaper,usingtheG.Iofmatricesoverafinitefield,wegiveseveralmethodstojudgewhetherapermutationσ∈S_n.(Symmetricgroup)belongstoAutCornot.Theyarehelpfulforthepurposetoex-
简介:Weinvestigatetheproblemofteleportationofunitaryoperationsbyunidirectionalcontrol-statetelepor-rationandproposeaschemecalledunidirectionalquantumremotecontrol.Theschemeisbasedontheisomorphismbetweenoperationandstate.Itallowsustostoreaunitaryoperationinacontrolstate,therebyteleportatSonoftheunitaryoperationcanbeimplementedbyunidirectionalteleportationofthecontrol-state.WefindthattheprobabilityofsuccessforimplementinganarbitraryunitaryoperationonarbitraryA~-qubitstatebyunidirectionalcontrol-stateteleportationis4^-M,and2Mebitsand4Mcbitsareconsumedineachteleportation.
简介:我们证明为四元数海森堡组上的sublaplacian的限制操作员从Lp被围住到Lp如果1p$\tfrac{4}{3}$\tfrac{4}{3}。这与海森堡组,限制操作员没从Lp在上被围住到Lp不同除非p=1。
简介:WeconsiderHardyspaceswithvariableexponentsdefinedbygrandmaximalfunctionontheHeisenberggroup.ThenweintroducesomeequivalentcharacterizationsofvariableHardyspaces.ByusingatomicdecompositionandmoleculardecompositionwegettheboundednessofsingularintegraloperatorsonvariableHardyspaces.WeinvestigatetheLittlewood-Paleycharacterizationbyvirtueoftheboundednessofsingularintegraloperators.
简介:为海森堡组,我们介绍h-quasiconvexfunctions的概念。我们证明h-quasiconvex功能和h凸的集合的观点是相等的并且h-quasiconvex功能局部地从上面被围住,并且而且导出那h-convexfunctions局部地被围住,因此它是局部地由由Danielli-Garofalo-Nhieu使用最近的结果连续的Lipschitz。最后,我们给第一衍生物ofh-quasiconvex功能的L∞标准的估计。
简介:MainWorkforRadiationProtectionGroupin1996¥SongWenjie;WangGuiling;LiZongqiang;ZhuHongbin;FuMingdeng;GaoXiuying;MaHuifangandZhe...
简介:ADMISSIBLEWAVELETSASSOCIATEDWITHTHETRANSFORMGROUPONRHEJIANXUNANDPENGLIZHONGAbstract.LetPbethetransformgrouponRn,thenPhasanatu...
简介:Reactionofglycinewithphosphorustrichlorideinpresenceoftriethylaminehasurnishedtheovelspirohydridophosphorane.Itsstructurehasbeencharacterizedbyelementalanalysis,n.m.r.spectraandmassspectrum.Thecompoundreactedwithphenylisothiocyanatetogive2-phenyliminothiazolid-5-one.
简介:LetM(2)bethegroupofrigidmotionsoftheplane.TheFouriertransformandthePiancherelformulaonM(2)canbeexplicitlygivenbythegeneralgrouprepresentationtheory.Usingthisfact.weestablishakindofuncertaintyprincipleonM(2).Theresultcaneasilybegeneralizedtohigherdimensionalcases.AnapplicationoftheresultyieldsanuncertaintyprincipleontheEuclideanspacesobtainedbyR.S.Strichartz.
简介:让f在局部性的非各向同性的Sobolev空间W_(loc)~(1,p)(H~n)在n维的海森堡组H~n=C~nxR,在此1≤p<2是的Q和Q=2n+H~n的同类的尺寸。假定椭圆形的坡度是的潜水艇gloabllyL~pintegrable,即,f_(H~n)|▽_(H~n)f|~pdu是有限的。我们在全部spaceH~n上为f证明Poincare是不平等。用我们证明的这不平等,减去某个常数的功能f在thenonisotropicSobolev空间,这在标准下面由C_0~∞(H~n)的结束形成了(∫_(H~n)|f|~((Q_p)/(Q-p)))~((Q-P)/(Q_p))(∫_(H~n)|▽_(H~n)f|~p)~(1/p)。我们将也证明为H~n上的如此的Poincare不平等的最好的常数和extremals与为H~n上的Sobolevinequalities的那些一样。用到L~(2Q)/(Q-2)的锋利的常数和extremalsforL~2上的Jerison和李的结果海森堡组上的Sobolev不平等,我们因此在H~n上为上述的Poincare不平等到达明确的最好的常数什么时候p=2。我们也在HeisenberggroupH~n上在公制的球上为本地Poincare不平等导出最好的常数的更低的界限。