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
| Identifer | oai:union.ndltd.org:TULANE/oai:http://digitallibrary.tulane.edu/:tulane_120413 |
| Date | January 2020 |
| Contributors | Le, Tien (author), (author), Can, Mahir (Thesis advisor), School of Science & Engineering Mathematics (Degree granting institution) |
| Publisher | Tulane University |
| Source Sets | Tulane University |
| Language | English |
| Detected Language | English |
| Type | Text |
| Format | electronic, pages: 89 |
| Rights | No embargo, Copyright is in accordance with U.S. Copyright law. |
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