154 research outputs found

    L1-determined ideals in group algebras of exponential Lie groups

    Full text link
    A locally compact group GG is said to be \ast-regular if the natural map \Psi:\Prim C^\ast(G)\to\Prim_{\ast} L^1(G) is a homeomorphism with respect to the Jacobson topologies on the primitive ideal spaces \Prim C^\ast(G) and \Prim_{\ast} L^1(G). In 1980 J. Boidol characterized the \ast-regular ones among all exponential Lie groups by a purely algebraic condition. In this article we introduce the notion of L1L^1-determined ideals in order to discuss the weaker property of primitive \ast-regularity. We give two sufficient criteria for closed ideals II of C(G)C^\ast(G) to be L1L^1-determined. Herefrom we deduce a strategy to prove that a given exponential Lie group is primitive \ast-regular. The author proved in his thesis that all exponential Lie groups of dimension 7\le 7 have this property. So far no counter-example is known. Here we discuss the example G=B5G=B_5, the only critical one in dimension 5\le 5

    Wavelength-selectable laser emission from a multistripe array grating integrated cavity laser

    Get PDF
    We report laser operation of a multistripe array grating integrated cavity (MAGIC) laser in which the wavelength of the emission from a single output stripe is chosen by selectively injection pumping a second stripe. We demonstrate a device that lases in the 1.5 µm fiber band at 15 wavelengths, evenly spaced by ~2 nm. The single-output/wavelength-selectable operation, together with the accurate predefinition of the lasing wavelengths, makes the MAGIC laser a very attractive candidate for use in multiwavelength networks

    Finitness of the basic intersection cohomology of a Killing foliation

    Get PDF
    We prove that the basic intersection cohomology IHpˉ(M/F), {I H}^{^{*}}_{_{\bar{p}}}{(M/\mathcal{F})}, where F\mathcal{F} is the singular foliation determined by an isometric action of a Lie group GG on the compact manifold MM, is finite dimensional

    Monolithic WDM Sources And Detectors For The Long Wavelength Fiber Band Based On An InP Grating Multiplexer/demultiplexer

    Get PDF
    Wavelength Division Multiplexed (WDM) networks are currently attracting considerable attention worldwide. Applications envisaged are wide-ranging - from computer back-plane interconnects and the telephone local loop, through local- and metropolitan- area networks, to wide-area networks involving advanced wavelength routing schemes [1, 2]

    The MAGIC Laser: a Monolithic WDM Source

    Get PDF
    We discuss the Multi-stripe Array Grating Integrated Cavity (MAGIC) Laser: a multi-wavelength laser formed by monolithically integrating a diffraction grating and an array of active stripes in a planar semiconductor waveguide cavity. Recent results will be presented

    The MAGIC Laser: a Monolithic WDM Source

    Get PDF
    We discuss the Multi-stripe Array Grating Integrated Cavity (MAGIC) Laser: a multi-wavelength laser formed by monolithically integrating a diffraction grating and an array of active stripes in a planar semiconductor waveguide cavity. Recent results will be presented

    Party rules, party resources, and the politics of parliamentary democracies: how parties organize in the 21st Century

    Get PDF
    This article introduces the first findings of the Political Party Database (PPDB) project, a major survey of party organizations in parliamentary and semi-presidential democracies. The project’s first round of data covers 122 parties in 19 countries. In this paper we describe the scope of the database, then investigate what it tells us about contemporary party organization in these countries, focussing on parties’ resources, structures and internal decision-making. We examine organizational patterns by country and party family, and where possible we make temporal comparisons with older datasets. Our analyses suggest a remarkable coexistence of uniformity and diversity. In terms of the major organizational resources on which parties can draw, such as members, staff and finance, the new evidence largely confirms the continuation of trends identified in previous research: i.e., declining membership, but enhanced financial resources and more paid staff. We also find remarkable uniformity regarding the core architecture of party organizations. At the same time, however, we find substantial variation between countries and party families in terms of their internal processes, with particular regard to how internally democratic they are, and in the forms that this democratization takes
    corecore