Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



On Weitzenböck's theorem in positive characteristic

Author: A. Fauntleroy
Journal: Proc. Amer. Math. Soc. 64 (1977), 209-213
MSC: Primary 14L99
MathSciNet review: 0460345
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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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Keywords: $ {G_a}$-actions, ring of invariants
Article copyright: © Copyright 1977 American Mathematical Society