Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 9 of 9 for “"coadjoint orbit"”.
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Fourier transforms of Nilpotent Orbits, limit formulas for reductive lie groups, and wave front cycles of tempered representations
… of the canonical measure on a nilpotent coadjoint orbit for GL(n, R). If G is a real, reductive algebraic group, and O C g* = Lie(G)* is a nilpotent coadjoint orbit, a necessary condition is given for 0 to appear in the wave front cycle of a tempered representation. In addition, the …
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Equivariant coherent sheaves on the nilpotent cone for complex reductive Lie groups
… and the set of pairs consisting of a nilpotent coadjoint orbit and a finite-dimensional irreducible representation of the isotropy group of the orbit. A constructive proof of this bijection is given for the groups GL(n, C), and the bijection is established by direct calculation in a handful of …
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Self-duality for SU([infinity]) gauge theories and extended objects
… correspondence is established via the use of the coadjoint orbit method. It is shown that classical gauge field theories can be formulated on the coadjoint orbits of an infinite dimensional group (a semidirect product of the group of gauge transformations and the Heisenberg-Weyl group); in Chap. …
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Orbital varieties and unipotent representations of classical semisimple Lie group
… to extend the method of polarizing a nilpotent coadjoint orbit to obtain a unitary representation of G. W. Graham and D. Vogan propose such a construction, relying on the notions of orbital varieties and admissible orbit data. The first part of the thesis seeks to understand the set of orbital …
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Stochastic Geometric Mechanics and Symmetry
… along directions transverse to the group orbits, these systems retain the same dynamics as their deterministic counterpart. Furthermore, we show that these systems can be described by coupling a deterministic Hamiltonian system to a stochastic one. We also identify conditions under which …
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Wigner functions for a class of semidirect product groups
… omitted.] ) admitting at least one open and free orbit in [Special characters omitted.] . Such groups are classified up to conjugacy in dim n = 3 and in dim n = 4 under the further requirement that they possess a semisimple ideal. The general construction is based on three main requirements: (i) …
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Homogeneous Symplectic Manifolds of the Galilei Group
… we reduce the problem to that of classifying the coadjoint orbits of a central extension of G discovered by Bargmann. We then develop a systematic inductive technique to construct a cross section of the coadjoint action. The resulting symplectic orbits are interpreted as the manifolds of classical …
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A Constructive Proof of the Borel-Weil Theorem for Classical Groups
<p>The Borel-Weil theorem is usually understood as a realization theorem for representations that have already been shown to exist by other means (``Theorem of the Highest Weight''). In this thesis we turn the tables and show that, at least in the case of the classical groups $G = U(n)$, $SO(n)$ …
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On Gaussian multiplicative chaos and conformal field theory
… the homogeneous space S^1\Diff(S^1) arises as a coadjoint orbit of Diff(S^1) and was shown to possess a two-parametric family of homogeneous Kähler forms, for which there is a globally defined potential. Among the various formulae known for this potential, the universal Liouville action of …