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dc.contributor.advisorHunziker, Markus, 1968-
dc.contributor.authorHartsock, Gail.
dc.date.accessioned2013-09-24T14:25:17Z
dc.date.available2013-09-24T14:25:17Z
dc.date.copyright2013-08
dc.date.issued2013-09-24
dc.identifier.urihttp://hdl.handle.net/2104/8834
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.en_US
dc.language.isoen_USen_US
dc.publisheren
dc.rightsBaylor 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.subjectBGG resolutions.en_US
dc.subjectUnitary highest weight modules.en_US
dc.titleA combinatorial property of Bernstein-Gelfand-Gelfand resolutions of unitary highest weight modules.en_US
dc.typeThesisen_US
dc.description.degreePh.D.en_US
dc.rights.accessrightsWorldwide accessen_US
dc.contributor.departmentMathematics.en_US
dc.contributor.schoolsBaylor University. Dept. of Mathematics.en_US


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