Browsing by Author "Hughes, Kenneth"

Now showing 1 - 3 of 3
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    Geometric realisation of representations of complex semi-simple Lie groups
    (2002) Balduzzi, David; Hughes, Kenneth
    This dissertation looks at some aspects of the representation theory of complex semi-simple Lie groups.
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    On uniformization of compact Kähler manifolds with negative first chern class by bounded symmetric domains
    (2014) Mckenzie, Daniel; Hughes, Kenneth; Martin, Rob
    We consider two complementary problems: given a compact Kähler manifold with negative first Chern Class, when is its universal cover a Bounded Symmetric Domain? And if it is, which Bounded Symmetric Domain is it? Existing literature is discussed, with particular attention given to two recent papers of Catanese and Di Scala ([CDS12] and [CDS]) which answer both questions first for Bounded Symmetric Domains of Tube Type, and then for all Bounded Symmetric Domains without Ball Factors. Using work of Yau and others on ball quotients we extend the main result of [CDS] to all bounded Symmetric Domains, including those with ball factors, thus answering the two questions posed in full generality.
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    Studies on the number theory of orders
    (1982) Omar, Mohammed Rafiq; Hughes, Kenneth
    In the nineteenth century no distinction was drawn between maximal and nonmaximal orders in a numberfield. Most of the work on orders in this period was done by Dedekind and Kronecker. The twentieth century has witnessed a relative neglect of the nonmaximal orders of a numberfield, which are the algebraic analogues of singular curves, although a few texts, for example the one by Borevich and Shafarevich, do discuss arbitrary orders. In this dissertation we attempt to present a connected account of the theory of nonmaximal orders, highlighting some of their important properties.