Shank, R. James, Hobson, Ashley (2011) The invariants of the third symmetric power representation of SL_2(F_p). Journal of Algebra, 333 (1). pp. 241-257. ISSN 0021-8693. (doi:10.1016/j.jalgebra.2011.02.023) (KAR id:24902)
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| Official URL: http://dx.doi.org/10.1016/j.jalgebra.2011.02.023 |
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Abstract
For a prime p>3, we compute a finite generating set for the
SL_2(F_p)-invariants of the third symmetric power representation. The proof relies on the construction of an infinite SAGBI basis and uses the Hilbert series calculation of Hughes and Kemper.
| Item Type: | Article |
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| DOI/Identification number: | 10.1016/j.jalgebra.2011.02.023 |
| Subjects: | Q Science > QA Mathematics (inc Computing science) > QA150 Algebra |
| Institutional Unit: | Schools > School of Engineering, Mathematics and Physics > Mathematical Sciences |
| Former Institutional Unit: |
Pure Mathematics Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
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| Funders: | Engineering and Physical Sciences Research Council (https://ror.org/0439y7842) |
| Depositing User: | James Shank |
| Date Deposited: | 11 Jun 2010 13:29 UTC |
| Last Modified: | 20 May 2025 11:34 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/24902 (The current URI for this page, for reference purposes) |
University of Kent Author Information
Shank, R. James.
| Creator's ORCID: |
 https://orcid.org/0000-0002-3317-4088
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