The invariants of the second symmetric power representation of SL_2(F_q)
| Autor: | Hobson, Ashley, Shank, R. James |
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| Rok vydání: | 2010 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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. |
| Databáze: | arXiv |
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