Pol, Luca and Strickland, Neil P. (2022) REPRESENTATION STABILITY AND OUTER AUTOMORPHISM GROUPS. DOCUMENTA MATHEMATICA, 27. pp. 17-88. ISSN 1431-0643
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In this paper we study families of representations of the outer automorphism groups indexed on a collection of finite groups U. We encode this large amount of data into a convenient abelian category which generalizes the category of VI-modules appearing in the representation theory of the finite general linear groups. Inspired by work of Church-Ellenberg-Farb, we investigate for which choices of U the abelian category is locally noetherian and deduce analogues of central stability and representation stability results in this setting. Finally, we show that some invariants coming from rational global homotopy theory exhibit representation stability.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | FI-MODULES; Representation stability; local noetherian abelian categories; rational global spectra |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 07 Feb 2024 09:35 |
| Last Modified: | 07 Feb 2024 09:35 |
| URI: | https://pred.uni-regensburg.de/id/eprint/57144 |
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