{"id":{"repo_id":"baylor","oai_identifier":"oai:baylor-ir.tdl.org:2104/8834"},"canonical_url":"https://search.dev.ndltd.org/etd/baylor/oai:baylor-ir.tdl.org:2104/8834","repository":{"repo_id":"baylor","name":"Baylor University","base_url":"https://baylor-ir.tdl.org/server/oai/request"},"display":{"title":"A combinatorial property of Bernstein-Gelfand-Gelfand resolutions of unitary highest weight modules.","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. 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