| dc.contributor.advisor | David A. Vogan Jr. | en_US |
| dc.contributor.author | Rush, David B., Ph. D. Massachusetts Institute of Technology | en_US |
| dc.contributor.other | Massachusetts Institute of Technology. Department of Mathematics. | en_US |
| dc.date.accessioned | 2018-02-08T16:28:42Z | |
| dc.date.available | 2018-02-08T16:28:42Z | |
| dc.date.copyright | 2017 | en_US |
| dc.date.issued | 2017 | en_US |
| dc.identifier.uri | http://hdl.handle.net/1721.1/113549 | |
| dc.description | Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2017. | en_US |
| dc.description | Cataloged from PDF version of thesis. | en_US |
| dc.description | Includes bibliographical references (pages 129-130). | en_US |
| dc.description.abstract | Let G be a connected complex reductive algebraic group with Lie algebra g. The Lusztig-Vogan bijection relates two bases for the bounded derived category of G-equivariant coherent sheaves on the nilpotent cone 11 of g. One basis is indexed by ..., the set of dominant weights of G, and the other by [Omega], the set of pairs ... consisting of a nilpotent orbit ... and an irreducible G-equivariant vector bundle ... The existence of the Lusztig-Vogan bijection ... was proven by Bezrukavnikov, and an algorithm computing [gamma] in type A was given by Achar. Herein we present a combinatorial description of [gamma] in type A that subsumes and dramatically simplifies Achar's algorithm. | en_US |
| dc.description.statementofresponsibility | by David B Rush. | en_US |
| dc.format.extent | 130 pages | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | Massachusetts Institute of Technology | en_US |
| dc.rights | MIT theses are protected by copyright. They may be viewed, downloaded, or printed from this source but further reproduction or distribution in any format is prohibited without written permission. | en_US |
| dc.rights.uri | http://dspace.mit.edu/handle/1721.1/7582 | en_US |
| dc.subject | Mathematics. | en_US |
| dc.title | Computing the Lusztig-Vogan bijection | en_US |
| dc.type | Thesis | en_US |
| dc.description.degree | Ph. D. | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | |
| dc.identifier.oclc | 1020252308 | en_US |
