The invariants of the third symmetric power representation of SL₂(F_p)
classification
🧮 math.AC
math.RT
keywords
invariantspowerrepresentationsymmetricthirdbasiscalculationcompute
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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.
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