Browse Graduate Dissertations and Theses at Illinois by Contributor "Maarten Bergvelt"

  • Anguelova, Iana I. (2006)
    This thesis is a study of the axiomatics of quantum vertex algebras based on the bicharacter construction suggested by R. Borcherds in [Bor01]. One of the goals is to use the ideas of [Bor01] to incorporate the examples ...

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  • Kilmurray, Donough (2000)
    We introduce a new factorization for elements of the loop group LSL2 = SL2( C ((lambda-1))). We then define a new decomposition for the flag manifold FL2 = LSL2/ B+ (= SL2&d14;/B&d14; + ), into isomorphic overlapping ...

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  • Bansal, Shivi Shekhar (2008)
    Lattice varieties play an important role in several areas of mathematics. In this thesis we investigate the properties of rational points on lattice varieties over Witt vectors with algebraically closed residue field in ...

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