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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Transformation groups 4 (1999), S. 355-374 
    ISSN: 1531-586X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract For the flag manifoldX=G/B of a complex semi-simple Lie groupG, we make connections between the Kostant harmonic forms onG/B and the geometry of the Bruhat Poisson structure. We show that on each Schubert cell, the corresponding Kostant harmonic form can be described using only data coming from the Bruhat Poisson structure. We do this by using an explicit set of coordinates on the Schubert cell.
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Communications in mathematical physics 157 (1993), S. 389-404 
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We introduce the notion of moment maps for quantum groups acting on their module algebras. When the module algebras are quantizations of Poisson manifolds, we prove that the construction at the quantum level is a quantization of that at the semi-classical level. We also prove that the corresponding smashed product algebras are quantizations of the semi-direct product Poisson structures.
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Communications in mathematical physics 212 (2000), S. 337-370 
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract: Let G be a finite dimensional simple complex group equipped with the standard Poisson Lie group structure. We show that all G-homogeneous (holomorphic) Poisson structures on G/H, where H⊂G is a Cartan subgroup, come from solutions to the Classical Dynamical Yang–Baxter equations which are classified by Etingof and Varchenko. A similar result holds for a maximal compact subgroup K, and we get a family of K-homogeneous Poisson structures on K/T, where T=K∩H is a maximal torus of K. This family exhausts all K-homogeneous Poisson structures on K/T up to isomorphisms. We study some Poisson geometrical properties of members of this family such as their symplectic leaves, their modular classes, and the moment maps for the T-action.
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  • 4
    ISSN: 1572-9605
    Keywords: BiSrCaCuO ; 130 K superconductor ; Sb and Pb doping
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology , Physics
    Notes: Abstract A nearly pure 2223 phase of the ceramic superconductor Bi1.8Pb0.3Sb0.1Sr2Ca2Cu3O10−δ was obtained by solid-state reaction in air. The samples showed a semiconducting behavior when the temperature was higher than 140 K. The electrical resistance began to drop at 140 K and went to zero at 92 K. Their a.c. magnetic susceptibility showed two transitions at 130 and 89 K, but the 110 K transition was absent. These transitions were stable during cycling for three times from 77 K to room temperature. X-ray diffraction revealed that there was no 2212 or 2201 phase in these samples but only a small amount of monoclinic phase before and after cycling from 77 K to room temperature. SEM images showed that the grains of the monoclinic phase segregated on the surface of the sample and at the grain boundaries inside the sample, which is the reason for the sample's poor superconductivity and the decrease in zero resistance. Evidence from TEM and SEM equipped with a wavelength dispersive meter indicated distortion of the 2223 phase. These distorted 2223 crystals may be responsible for the 130 K superconductivity.
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  • 5
    ISSN: 0025-116X
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: A series of metal halides (AlCl3, AlBr3, AlEtCl2, BF3 · OEt2, SnCl4, TiCl4, and WCl6) were employed in conjunction with antimony trichloride (SbCl3) for the cationic polymerization of α-pinene in toluene at -15°C. The combinations of aluminium halides (AlCl3, AlBr3, and AlEtCl2) with SbCl3 gave high molecular weight oligomers (M̄n ≥ 700) in good yield (〉80 wt.-%) with low dimer contents (5-17 wt.%). The other metal halides, both in the absence and presence of SbCl3, gave large amounts (20-40 wt.-%) of dimers along with low molecular weight oligomers. 1H NMR analysis of the obtained oligomers showed that they consist of two isomerized repeating units, one (1) unsaturated (with a cyclohexene ring) and the other (2) saturated (with a bornyl structure). The oligomers obtained with aluminium halides/SbCl3 contained higher amounts of unsaturated units 1 than those with aluminium halides alone. The higher the molecular weight, the larger the content of 1. Isomerization of α-pinene slightly occurred in the course of the polymerization, and the structure of the isomers depended on the catalyst systems. These results show that the aluminium halide/SbCl3 binary systems promote the ring-opening of the cyclobutane unit in α-pinene to give higher molecular weight oligomers.
    Additional Material: 9 Ill.
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  • 6
    ISSN: 0025-116X
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: In the presence of nucleophilic additives such as esters (ethyl benzoate, acetate, and chloroacetate), ethers (diethyl ether and 1,4-dioxane), and ammonium salts (nBu4NCl), oligomers of α-pinene with relatively high molecular weights (M̄n ≥ 1000) were obtained with the AlCl3/SbCl3 binary catalyst in toluene at 0°C ([AlCl3]0 = 42,5 mmol · L-1, Sb/Al = 0,50, [additive]0 = 10,6 mmol · L-1). The yield was 80-90 wt.-%, and the dimer content was as low as 6 wt.-%. Also in the polymerization at 25°C, the addition of ethyl benzoate increased the oligomer's average molecular weight (M̄n = 850) and decreased the dimer content (10 wt.-%), in contrast to the low M̄n (350) and the high dimer content (40 wt.-%) in the absence of the additive. The oligomers obtained in the presence of ethyl benzoate contained the repeating unit 1 which has an endo-olefin group, at higher ratio than in the absence of the additive. Phenomenologically, the role of the additives is to retard the polymerization so as to proceed at a moderate rate even at high temperature above 0°C and thereby to suppress the dimer formation.
    Additional Material: 9 Ill.
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  • 7
    Electronic Resource
    Electronic Resource
    New York : Wiley-Blackwell
    Die Makromolekulare Chemie 193 (1992), S. 2311-2321 
    ISSN: 0025-116X
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: Oligomers of α-pinene (1) with relatively high molecular weight (number-average molecular weight Mn = 1140, weight-average molecular weight Mw = 2590) were obtained with the binary catalyst AlCl3/SbCl3 in toluene at - 15°C ([AlCl3]0 = 42,5 mmol · L-1, mole ratio SbCl3/AlCl3 = 0,50). The yield was higher than 90%, and the dimer content was as low as 5 wt.-%. In contrast, AlCl3 alone gave predominantly dimers and lower oligomers in poor yield, whereas SbCl3 had no catalytic activity for 1. 1H NMR analysis reveled that the structure of the higher-molecular-weight fraction (Mn = 2920, Mw = 3690) of the oligomers obtained with AlCl3/SbCl3 is 6, which consists of a cyclohexene ring with an endo-olefin group, most likely derived from the cationic monomer isomerization of α-pinene via the ring-opening of the cyclobutane unit. Effects of the reaction conditions on the polymerization rate and molecular weight were also investigated.
    Additional Material: 12 Ill.
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  • 8
    Electronic Resource
    Electronic Resource
    Bognor Regis [u.a.] : Wiley-Blackwell
    Journal of Polymer Science Part A: Polymer Chemistry 35 (1997), S. 1423-1430 
    ISSN: 0887-624X
    Keywords: cationic polymerization ; living polymerization ; β-pinene ; end-functionalized polymer ; macromonomer ; graft copolymer ; Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: α-End-functionalized polymers and macromonomers of β-pinene were synthesized by living cationic isomerization polymerization in CH2Cl2 at -40°C initiated with the HCl adducts [1; CH3CH(OCH2CH2X)Cl; X = chloride (1a), acetate (1b), and methacrylate (1c)] of vinyl ethers carrying pendant substituents X that serve as terminal functionalities. In conjunction with TiCl3(OiPr) and nBu4NCl, these functionalized initiators led to living β-pinene polymerization where the carbon-chlorine bond of 1 was activated by TiCl3(OiPr). Similarly, end-functionalized poly(p-methylstyrene)-block-poly(β-pinene) were also obtained. 1H-NMR analysis showed that the polymers possess controlled molecular weights (DPn = [M]0/[1]0) and number-average end functionalities close to unity. The end-functionalized methacrylate-capped macromonomers form 1c were radically copolymerized with methyl methacrylate (MMA) to give graft copolymers carrying poly(β-pinene) or poly(p-methylstyrene)-block-poly(β-pinene) as graft chains attached to a PMMA backbone. © 1997 John Wiley & Sons, Inc. J Polym Sci A: Polym Chem 35: 1423-1430, 1997
    Additional Material: 7 Ill.
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  • 9
    Electronic Resource
    Electronic Resource
    New York, NY [u.a.] : Wiley-Blackwell
    Journal of Applied Polymer Science 61 (1996), S. 1011-1016 
    ISSN: 0021-8995
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: The polymerization of β-pinene with the AlCl3/SbCl3 binary catalyst was investigated in toluene at -40°C and was compared with that of α-pinene. The polymerization of β-pinene with AlCl3 alone was very rapid and retarded on addition of SbCl3, in sharp contrast to that of α-pinene where added SbCl3 remarkably accelerated it to give relatively high molecular weight oligomers. Attempted copolymerization of the two isomers with the binary catalyst, in turn, induced their parallel homopolymerizations, indicating that the copolymerization was difficult due to the large difference in reactivity. The homopolymerizations with AlCl3/SbCl3 were not seriously affected by a sterically hindered base, 2,6-di-tert-butyl-4-methylpyridine (DTBMP); the initiating species, therefore, would be different in nature from a proton. © 1996 John Wiley & Sons, Inc.
    Additional Material: 7 Ill.
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  • 10
    Publication Date: 2010-05-07
    Print ISSN: 0031-9007
    Electronic ISSN: 1079-7114
    Topics: Physics
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