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Baylor University.
A combinatorial property of Bernstein-Gelfand-Gelfand resolutions of unitary highest weight modules.
Abstract
dc:description.abstractIt 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.
Degree
thesis:*- Name thesis:degree_name
- Ph.D.
- Level thesis:degree_level
- Doctoral
- Grantor
- Baylor University.
- Year dc:date.issued
- 2013
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Hartsock, Gail.
- Advisor dc:contributor.advisor
-
- Hunziker, Markus, 1968-
Subjects
dc:subject × 2Rights
dc:rights- Statement dc:rights
-
- Baylor University works 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 libraryquestions@baylor.edu for inquiries about permission.
- Language dc:language.iso
- en
Identifiers
dc:identifier.*- Handle dc:identifier.uri
- https://hdl.handle.net/2104/8834
- OAI identifier oai:identifier
- oai:baylor-ir.tdl.org:2104/8834