The invariants of the third symmetric power representation of SL_2(F_p)

Shank, R. James and 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:https://doi.org/10.1016/j.jalgebra.2011.02.023 ) (Full text available)

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Official URL http://dx.doi.org/10.1016/j.jalgebra.2011.02.023

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
Subjects:	Q Science > QA Mathematics (inc Computing science) > QA150 Algebra
Divisions:	Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Pure Mathematics
Depositing User:	R James Shank
Date Deposited:	11 Jun 2010 13:29 UTC
Last Modified:	30 May 2014 09:47 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/24902 (The current URI for this page, for reference purposes)