connected nilpotent Lie group 连通幂零李群 simply connected group 单连通群 connected locally compact group 连通局部紧群 be connected by 由...连接 be connected with 与…有联系,和…有关 be connected to 有关联 connected speech 连续语言 connected storage 连接存储器,连续存储,连续存储器 相似...
forwhichf?u???u?everywhere?ItisnaturaltotrytogeneralisethisresultbyreplacingRwithanarbi?traryconnectedLiegroupG?Morespeci?cally?weaskforwhichconnectedLiegroupsandH?olderfdoesthefollowingpropertyhold?Property?R??Regularity??Iff???GisH?olderanduisameasur?ablesolutiontothecoboundaryequationf?u??u??a?e?
Connected Lie Groups Admitting an Embedding in a Connected Amenable Lie GroupThe main result is that a Lie group admitting a (not necessarily continuous) embedding in an amenable Lie group is amenable.doi:10.1134/S1061920819040083A. I. Shtern...
irreducible finite-dimensional continuous complex unitary representations of the group) is corrected and the smallest von Neumann kernel of a connected Lie group (the intersection of kernels of all irreducible finite-dimensional (not necessarily continuous) complex unitary representations of the group) is...
摘要: For a locally compact group, the property of rapid decay (property RD) gives a control on the convolutor norm of any compactly supported function in terms of its L-2-norm and the diameter of its support. We characterize the Lie groups that have property RD.关键词:...
(S1).1.IntroductionLetKbeacompact,connectedandsimpleLiegroupandLK=C∞(S1,K)itsloopgroup.WeshallbeconcernedwiththestudyofpositiveenergyrepresentationsofLK,i.e.projectiveunitaryrepresentationsπ:LK−→PU(H)=U(H)/T(1.1)extendingtothesemi–directproductLK⋊Rot(S1)insuchawaythatRot(S1)actsbynon–...
1) analytic group,connected Lie group 解析群2) analytic semigroup 解析半群 1. We show in this paper the conditionthat strongly elliptic differential operators with singular lower order coefficients belonging to a class of measurable functions which includes the Schecter potential class Mσ,τ,q ...
摘要: I calculate characters of certain representations of loop groups based on non simply connected Lie groups. This gives a generalization of the Kac-Weyl character formula. 关键词: Mathematics - Representation Theory DOI: 10.1007/s00209-003-0629-5 被引量: 39 年份: 2004 收藏...
Let G be a finite dimensional connected Lie group. Fix a basis {Xi}i=1,···,n of the Lie algebra g and form the associated Laplace operator = ∑ 1≤i≤n X2 i in the enveloping algebra U(g). Let π be a strongly continuous unitary representation of G; let dπ() be the clos...
6) connected nilpotent Lie group 连通幂零李群 补充资料:正规子群 正规子群 normal srihgroqi 正规子群f.川口日,鲍”,;”o州a刀研‘‘举月“犯月‘],正规除子(加m司divisor),不变子群(访珑币田吐sub-罗〕uP)群G的子群H,使得G模H的左分解与右分解相同.换言之,对于任意元素a6G,陪集aH和Ha(作为集合...