SPIN EXTENSIONS AND MEASURES ON INFINITE DIMENSIONAL GRASSMANN MANIFOLDS.
| dc.contributor.author | PICKRELL, DOUGLAS MURRAY. | |
| dc.creator | PICKRELL, DOUGLAS MURRAY. | en_US |
| dc.date.accessioned | 2011-10-31T18:49:01Z | en |
| dc.date.available | 2011-10-31T18:49:01Z | en |
| dc.date.issued | 1984 | en_US |
| dc.identifier.uri | http://hdl.handle.net/10150/187705 | en |
| dc.description.abstract | The 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. | |
| dc.language.iso | en | en_US |
| dc.publisher | The University of Arizona. | en_US |
| dc.rights | Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author. | en_US |
| dc.subject | Grassmann manifolds. | en_US |
| dc.subject | Homogeneous spaces. | en_US |
| dc.subject | Infinite-dimensional manifolds. | en_US |
| dc.subject | Lie algebras. | en_US |
| dc.title | SPIN EXTENSIONS AND MEASURES ON INFINITE DIMENSIONAL GRASSMANN MANIFOLDS. | en_US |
| dc.type | text | en_US |
| dc.type | Dissertation-Reproduction (electronic) | en_US |
| dc.identifier.oclc | 691273138 | en_US |
| thesis.degree.grantor | University of Arizona | en_US |
| thesis.degree.level | doctoral | en_US |
| dc.identifier.proquest | 8415077 | en_US |
| thesis.degree.discipline | Mathematics | en_US |
| thesis.degree.discipline | Graduate College | en_US |
| thesis.degree.name | Ph.D. | en_US |
| refterms.dateFOA | 2018-06-15T18:12:39Z | |
| html.description.abstract | The 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. |
