On Weitzenböck’s theorem in positive characteristic

Fauntleroy, A.

doi:10.1090/S0002-9939-1977-0460345-3

On Weitzenböck’s theorem in positive characteristic
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by A. Fauntleroy

Proc. Amer. Math. Soc. 64 (1977), 209-213

DOI: https://doi.org/10.1090/S0002-9939-1977-0460345-3

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Abstract:

Let k be an algebraically closed field and let $f:{G_a} \to {\text {GL}}(V)$ be a finite-dimensional k-rational representation of the additive group ${G_a}$. If the subspace of ${G_a}$-fixed points in V is a hyperplane, then the ring of ${G_a}$-invariant polynomial functions on V is finitely generated over k. This result is an analog of a classical theorem of Weitzenböck, a modern proof of which has been given by C. S. Seshadri.

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On a theorem of Weitzenböck

1-3

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