A combinatorial property of Bernstein-Gelfand-Gelfand resolutions of unitary highest weight modules.
| dc.contributor.advisor | Hunziker, Markus. | |
| dc.contributor.author | Hartsock, Gail. | |
| dc.contributor.department | Mathematics. | en_US |
| dc.contributor.schools | Baylor University. Dept. of Mathematics. | en_US |
| dc.date.accessioned | 2013-09-24T14:25:17Z | |
| dc.date.available | 2013-09-24T14:25:17Z | |
| dc.date.copyright | 2013-08 | |
| dc.date.issued | 2013-09-24 | |
| dc.description.abstract | It follows from a formula by Kostant that the difference between the highest weights of consecutive parabolic Verma modules in the Bernstein-Gelfand-Gelfand-Lepowsky resolution of the trivial representation is a single root. We show that an analogous property holds for all unitary representations of simply laced type. Specifically, the difference between consecutive highest weights is a sum of positive noncompact roots all with multiplicity one. | en_US |
| dc.description.degree | Ph.D. | en_US |
| dc.identifier.uri | http://hdl.handle.net/2104/8834 | |
| dc.language.iso | en_US | en_US |
| dc.publisher | en | |
| dc.rights | Baylor University theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. Contact librarywebmaster@baylor.edu for inquiries about permission. | en_US |
| dc.rights.accessrights | Worldwide access | en_US |
| dc.subject | BGG resolutions. | en_US |
| dc.subject | Unitary highest weight modules. | en_US |
| dc.title | A combinatorial property of Bernstein-Gelfand-Gelfand resolutions of unitary highest weight modules. | en_US |
| dc.type | Thesis | en_US |
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