The invariants of the second symmetric power representation of SL_2(F_q)

Hobson, Ashley, Shank, R. James (2011) The invariants of the second symmetric power representation of SL_2(F_q). Journal of Pure and Applied Algebra, 215 (10). pp. 2481-2485. ISSN 0022-4049. (doi:10.1016/j.jpaa.2011.02.006) (KAR id:23845)

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Official URL: http://dx.doi.org/10.1016/j.jpaa.2011.02.006
Additional URLs: http://uk.arxiv.org/abs/1002.4318

Abstract

For a prime p>2 and q=p^n, we compute a finite generating set for the SL_2(F_q)-invariants of the second symmetric power representation, showing the invariants are a hypersurface and the field of fractions is a purely transcendental extension of the coefficient field. As an intermediate result, we show the invariants of the Sylow p-subgroups are also hypersurfaces.

Item Type:	Article
DOI/Identification number:	10.1016/j.jpaa.2011.02.006
Additional information:	arXiv:1002.4318v1 [math.AC]
Subjects:	Q Science > QA Mathematics (inc Computing science) > QA150 Algebra
Institutional Unit:	Schools > School of Engineering, Mathematics and Physics > Mathematical Sciences
Former Institutional Unit:	Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User:	James Shank
Date Deposited:	21 Jun 2010 13:12 UTC
Last Modified:	20 May 2025 11:33 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/23845 (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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