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101.
Schub MH Jansen DM Mishra CS Ho PM Brown CN Carey TA Chen YC Childers R Cooper WE Darden CW Gidal G Gounder KN Isenhower LD Jeppesen RG Kaplan DM Kapustinsky JS Kiang GC Kowitt MS Lane DW Lederman LM Leitch MJ Lillberg JW Luebke WR Luk KB McGaughey PL Moss JM Peng JC Preston RS Pripstein D Sa J Sadler ME Schnathorst R Tanikella V Teng PK Wilson JR 《Physical review D: Particles and fields》1996,53(1):570
102.
A. L. Carey H. Grundling I. Raeburn C. Sutherland 《Communications in Mathematical Physics》1995,168(2):389-416
We study group extensions , where acts on a C*-algebraA. Given a twisted covariant representation ,V of the pairA, we construct 3-cocycles on with values in the centre of the group generated byV(). These 3-cocycles are obstructions to the existence of an extension of byV() which acts onA compatibly with . The main theorems of the paper introduce a subsidiary invariant which classifies actions of onV() and in terms of which a necessary and sufficient condition for the the cohomology class of the 3-cocycle to be non-trivial may be formulated. Examples are provided which show how non-trivial 3-cocycles may be realised. The framework we choose to exhibit these essentially mathematical results is influenced by anomalous gauge field theories. We show how to interpret our results in that setting in two ways, one motivated by an algebraic approach to constrained dynamics and the other by the descent equation approach to constructing cocycles on gauge groups. In order to make comparisons with the usual approach to cohomology in gauge theory we conclude with a Lie algebra version of the invariant and the 3-cocycle. 相似文献
103.
Schub MH Jansen DM Mishra CS Ho PM Brown CN Carey TA Chen YC Childers R Cooper WE Darden CW Gidal G Gounder KN Isenhower LD Jeppesen RG Kaplan DM Kapustinsky JS Kiang GC Kowitt MS Lane DW Lederman LM Leitch MJ Lillberg JW Luebke WR Luk KB McGaughey PL Moss JM Peng JC Preston RS Pripstein D Sa J Sadler ME Schnathorst R Tanikella V Teng PK Wilson JR 《Physical review D: Particles and fields》1995,52(3):1307-1315
104.
Grant R. Krow James T. Carey Kevin C. Cannon Kenneth J. Henz 《Tetrahedron letters》1982,23(25):2527-2528
Cycloaddition of N-carbethoxy-2-alkyl-1,2-dihydropyridines with phenylvinylsulfone provides adducts , which upon desulfonylation afford stereoselectively N-carbethoxy-3-- alkyl-5,6-dehydroisoquinuclidines . 相似文献
105.
Abe F Amidei D Apollinari G Ascoli G Atac M Auchincloss P Baden AR Barbaro-Galtieri A Barnes VE Bedeschi F Belforte S Bellettini G Bellinger J Bensinger J Beretvas A Berge P Bertolucci S Bhadra S Binkley M Blair R Blocker C Bofill J Booth AW Brandenburg G Brown D Byon A Byrum KL Campbell M Carey R Carithers W Carlsmith D Carroll JT Cashmore R Cervelli F Chadwick K Chapin T Chiarelli G Chinowsky W Cihangir S Cline D Connor D Contreras M Cooper J Cordelli M Curatolo M Day C DelFabbro R 《Physical review D: Particles and fields》1989,40(11):3791-3794
106.
A.L Carey 《Journal of Functional Analysis》1984,55(3):277-296
The group (H)2 of unitary operators (on a Hilbert space H) which differ from the identity by a Hilbert-Schmidt operator may be imbedded in the group of Bogoliubov automorphisms of the CAR algebra over H in such a way as to be weakly inner in any gauge-invariant quasifree representation. Consequently each such quasifree representation determines a projective representation of (H)2. If 0 ? A ? I is the operator on H determining the quasifree representation πA and ?A denotes the cyclic projective representation of (H)2 generated from the G.N.S. cyclic vector , then the 2-cocycle in (H)2 determined by ?A can be given explicitly. We prove that this 2-cocycle is a coboundary if any only if A or 1 ? A is Hilbert-Schmidt. The representations ?A, on restriction to the group (H)1 consisting of unitaries which differ from the identity by a trace class operator, always determine 2-cocycles which are coboundaries. These representations of (H)1 have already been investigated by 21., 22., 87–110). Thus the Stratila-Voiculescu representations of (H)1 always extend to projective representations of (H)2 and to ordinary representations when A or 1 ? A is Hilbert-Schmidt. This fact enables exploitation of the type analysis of Stratila and Voiculescu to determine the type of the von Neumann algebra ρA((H)2)″. In the special case where 0 and 1 are not eigenvalues of is cyclic and separating for ρA((H)2)″ and hence determines a K.M.S. state on this algebra. It is shown that for special choices of A, type IIIλ (0 < λ ? 1) factors ρA((H)2)″ may be constructed. 相似文献
107.
Abe F Albrow M Amidei D Anway-Wiese C Apollinari G Atac M Auchincloss P Azzi P Baden AR Bacchetta N Badgett W Bailey MW Bamberger A de Barbaro P Barbaro-Galtieri A Barnes VE Barnett BA Bauer G Baumann T Bedeschi F Behrends S Belforte S Bellettini G Bellinger J Benjamin D Benlloch J Bensinger J Beretvas A Berge JP Bertolucci S Biery K Bhadra S Binkley M Bisello D Blair R Blocker C Bodek A Bolognesi V Booth AW Boswell C Brandenburg G Brown D Buckley-Geer E Budd HS Busetto G Byon-Wagner A 《Physical review D: Particles and fields》1993,48(9):R3939-R3944
108.
The conditions for the spectrophotofluorometric determination of terbium and europium, in solutions of potassium carbonate, have been established. The apparent excitation and fluorescence wavelengths used, respectively, are 245 mmu and 550 mmu for terbium and 400 mmu and 620 mmu for europium. The fluorescence varies linearly with the concentration of terbium and europium in the range 0.3-70 mug, of terbium/ml and 4-800 mug of europium/ml. Large amounts of gadolinium, lutetium and yttrium do not interfere. Cerium(IV) interferes seriously. 相似文献
109.
We show how to construct irreducible projective representations of the infinite dimensional Lie group Map (S
1,
), by embedding it into the group of Bogoliubov automorphisms of the CAR. Using techniques of G. Segal for extending certain representations of Map (S
1, SU(2)) we show that our representations extend to give representations of a certain infinite dimensional superalgebra. We relate our work to the well known boson-fermion correspondence which exists in 1+1 dimensions. 相似文献
110.
The electrochemistry of xanthinol nicotinate(Xan) was studied by cyclic voltammetry at a glassy carbon electrode modified by a gel containing multi-walled carbon nanotubes(MWNTs) and room-temperature ionic liquid of 1-butyl-3-methylimidazolium hexafluorophosphate(BMTMPF_6).The modified electrode exhibited good promotion to the electrochemical oxidation of Xan and an ultrasensitive electrochemical method was proposed for the determination of Xan.This method was successfully applied to the determination of... 相似文献