SPIN EXTENSIONS AND MEASURES ON INFINITE DIMENSIONAL GRASSMANN MANIFOLDS.
AuthorPICKRELL, DOUGLAS MURRAY.
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PublisherThe University of Arizona.
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AbstractThe representation theory of infinite dimensional groups is in its infancy. This paper is an attempt to apply the orbit method to a particular infinite dimensional group, the spin extension of the restricted unitary group. Our main contribution is in showing that various homogeneous spaces for this group admit measures which can be used to realize the unitary structure for the standard modules.