Deligne categories and representation stability in positive characteristic
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2017 === Cataloged from PDF version of thesis. === Includes bibliographical references (pages 121-125). === We study the asymptotic behavior of the representation theory of symmetric groups Sn, in positive characterist...
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| Format: | Others |
| Language: | English |
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Massachusetts Institute of Technology
2017
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| Online Access: | http://hdl.handle.net/1721.1/112905 |
| Summary: | Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2017 === Cataloged from PDF version of thesis. === Includes bibliographical references (pages 121-125). === We study the asymptotic behavior of the representation theory of symmetric groups Sn, in positive characteristic as n grows to [infinity], with the goal of understanding and generalizing the Deligne categories Rep(St) as well as the theory of FI-modules and representation stability in the positive characteristic setting. We also give qanalogs of some of our results in the context of unipotent representations of finite general linear groups in non-defining characteristic. === by Nate Harman. === Ph. D. === Ph.D. Massachusetts Institute of Technology, Department of Mathematics |
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