Mathematics - Master's degree
http://hdl.handle.net/1721.1/7682
2014-10-21T06:42:39ZOn a posteriori finite element bound procedures for nonsymmetric Eigenvalue problems
http://hdl.handle.net/1721.1/85266
On a posteriori finite element bound procedures for nonsymmetric Eigenvalue problems
Chow, Chak-On, 1968-
Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1999.; Includes bibliographical references (p. 61-63).
1999-01-01T00:00:00ZEquivalent statements to exotic p.1. structures on the 4-sphere.
http://hdl.handle.net/1721.1/65037
Equivalent statements to exotic p.1. structures on the 4-sphere.
Gerra, Ralph Alexander
Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1973.; Vita.; Bibliography: leaves 20-21.
1973-01-01T00:00:00ZAdelic Fourier-Whittaker coefficients and the Casselman-Shalika formula
http://hdl.handle.net/1721.1/54665
Adelic Fourier-Whittaker coefficients and the Casselman-Shalika formula
Tabony, Sawyer
In their paper Metaplectic Forms, D. A. Kazhdan and S. J. Patterson developed a generalization of automorphic forms that are defined on metaplectic groups. These groups are non-trivial covering groups of usual algebraic groups, and the forms defined on them are representations that respect the covering. As in the case for automorphic forms, these representations fall into a principle series, indexed by characters on a torus of the metaplectic group, and there is an associated an L-function. In the final section of their paper, an equivalence is shown in the rank one case between this -function and an Dirichlet series defined using Gauss sums, in order to demonstrate the arithmetic content. In this paper we reexamine this connection in the particular case that was discussed in Metaplectic Forms. By looking through the scope of twisted multiplicativity, a property of L-series, the computation is simplified and more easily generalized.
Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2009.; Cataloged from PDF version of thesis.; Includes bibliographical references (p. 29).
2009-01-01T00:00:00ZRings of regular functions on spherical nilpotent orbits for complex classical groups
http://hdl.handle.net/1721.1/54664
Rings of regular functions on spherical nilpotent orbits for complex classical groups
Suk, Tonghoon
Let G be a classical group and let g be its Lie algebra. For a nilpotent element X E g, the ring R(Ox) of regular functions on the nilpotent orbit Ox is a G-module. In this thesis, we will decompose it into irreducible representations of G for some spherical nilpotent orbits.
Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2009.; Cataloged from PDF version of thesis.; Includes bibliographical references (p. 16).
2009-01-01T00:00:00Z