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Diagonal Orbits in Double Flag Varieties

archives@tulane.edu / Let G be a connected reductive complex algebraic group. We study the inclusion posets of diagonal G-orbit closures in a product of two partial flag varieties. In this dissertation, we show some results for G=SL_n and G=SO_{2n}. If the diagonal action is of complexity zero, then the poset is a graded lattice. If the diagonal action is of complexity one, then the poset is isomorphic to one of a finite number of posets that we determine explicitly. / 1 / Tien Minh Le

  1. tulane:120413
Identiferoai:union.ndltd.org:TULANE/oai:http://digitallibrary.tulane.edu/:tulane_120413
Date January 2020
ContributorsLe, Tien (author), (author), Can, Mahir (Thesis advisor), School of Science & Engineering Mathematics (Degree granting institution)
PublisherTulane University
Source SetsTulane University
LanguageEnglish
Detected LanguageEnglish
TypeText
Formatelectronic, pages:  89
RightsNo embargo, Copyright is in accordance with U.S. Copyright law.

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