Lift of the trivial representation to a nonlinear cover
| dc.contributor.advisor | Adams, Jeffrey D. | en_US |
| dc.contributor.author | Tsai, Wan-Yu | en_US |
| dc.contributor.department | Mathematics | en_US |
| dc.contributor.publisher | Digital Repository at the University of Maryland | en_US |
| dc.contributor.publisher | University of Maryland (College Park, Md.) | en_US |
| dc.date.accessioned | 2014-06-24T06:14:51Z | |
| dc.date.available | 2014-06-24T06:14:51Z | |
| dc.date.issued | 2014 | en_US |
| dc.description.abstract | Let G be the real points of a simply laced, simply connected complex Lie group, and let G^~ be the nonlinear two-fold cover of G. We discuss a set of small genuine representations of G^~, denoted by Lift(C), which can be obtained from the trivial representation of G by a lifting operator. The representations in Lift(C) can be characterized by the following properties: (a) the infinitesimal character is &rho/2; (b) they have maximal &tau-invariant; (c) they have a particular associated variety O. When G is split and of type A or D , we have a full description for Lift(C). In this case, these representations are parametrized by pairs (central character, real form of O), and exhaust all small representations with infinitesimal character &rho/2 and maximal &tau-invariant. | en_US |
| dc.identifier.uri | http://hdl.handle.net/1903/15375 | |
| dc.language.iso | en | en_US |
| dc.subject.pqcontrolled | Mathematics | en_US |
| dc.subject.pquncontrolled | Lift | en_US |
| dc.subject.pquncontrolled | Nonlinear groups | en_US |
| dc.title | Lift of the trivial representation to a nonlinear cover | en_US |
| dc.type | Dissertation | en_US |
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