The invariants of the third symmetric power representation of SL₂(F_p)

2010/06/01 by Ashley Hobson, Hobson, Ashley, R. James Shank +1
Mathematics · #13A50 #Commutative Algebra (math.AC) #FOS: Mathematics #Representation Theory (math.RT) #math.AC #math.RT #msc:13A50

paper · pdf · doi:10.48550/arxiv.1006.0116

arxiv created 2010/06/01 · arxiv updated 2010/06/02

Abstract

For a prime p>3, we compute a finite generating set for the SL₂(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.

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