Super invariant theory in positive characteristic
Abstract We study invariant theory of the general linear supergroup in positive characteristic. In particular, we determine when the symmetric group algebra acts faithfully on tensor superspace and demonstrate that the symmetric group does not always generate all invariants.
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Springer International Publishing
2023
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| Online Access: | https://hdl.handle.net/1721.1/152408 |
| _version_ | 1824458096931504128 |
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| author | Coulembier, Kevin Etingof, Pavel Kleshchev, Alexander Ostrik, Victor |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Coulembier, Kevin Etingof, Pavel Kleshchev, Alexander Ostrik, Victor |
| author_sort | Coulembier, Kevin |
| collection | MIT |
| description | Abstract
We study invariant theory of the general linear supergroup in positive characteristic. In particular, we determine when the symmetric group algebra acts faithfully on tensor superspace and demonstrate that the symmetric group does not always generate all invariants. |
| first_indexed | 2024-09-23T11:31:35Z |
| format | Article |
| id | mit-1721.1/152408 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2025-02-19T04:20:28Z |
| publishDate | 2023 |
| publisher | Springer International Publishing |
| record_format | dspace |
| spelling | mit-1721.1/1524082025-01-04T05:57:14Z Super invariant theory in positive characteristic Coulembier, Kevin Etingof, Pavel Kleshchev, Alexander Ostrik, Victor Massachusetts Institute of Technology. Department of Mathematics Abstract We study invariant theory of the general linear supergroup in positive characteristic. In particular, we determine when the symmetric group algebra acts faithfully on tensor superspace and demonstrate that the symmetric group does not always generate all invariants. 2023-10-10T20:11:45Z 2023-10-10T20:11:45Z 2023-10-09 2023-10-10T03:17:15Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/152408 European Journal of Mathematics. 2023 Oct 09;9(4):94 en https://doi.org/10.1007/s40879-023-00688-z Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ The Author(s), under exclusive licence to Springer Nature Switzerland AG application/pdf Springer International Publishing Springer International Publishing |
| spellingShingle | Coulembier, Kevin Etingof, Pavel Kleshchev, Alexander Ostrik, Victor Super invariant theory in positive characteristic |
| title | Super invariant theory in positive characteristic |
| title_full | Super invariant theory in positive characteristic |
| title_fullStr | Super invariant theory in positive characteristic |
| title_full_unstemmed | Super invariant theory in positive characteristic |
| title_short | Super invariant theory in positive characteristic |
| title_sort | super invariant theory in positive characteristic |
| url | https://hdl.handle.net/1721.1/152408 |
| work_keys_str_mv | AT coulembierkevin superinvarianttheoryinpositivecharacteristic AT etingofpavel superinvarianttheoryinpositivecharacteristic AT kleshchevalexander superinvarianttheoryinpositivecharacteristic AT ostrikvictor superinvarianttheoryinpositivecharacteristic |