Deligne categories and representation stability in positive characteristic

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.

Department dc:contributor.department

Massachusetts Institute of Technology. Department of Mathematics

Grantor dc:publisher

Massachusetts Institute of Technology

Year dc:date.issued

2017

Author dc:creator

• Harman, Nate(Nate Reid)

Advisor dc:contributor.advisor

• Pavel Etingof.

• Mathematics.

Statement 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.

Licence dc:rights.uri

• http://dspace.mit.edu/handle/1721.1/7582

Language dc:language.iso

eng

Handle dc:identifier.uri

http://hdl.handle.net/1721.1/112905

OAI identifier oai:identifier

oai:dspace.mit.edu:1721.1/112905