On Weitzenbock's Theorem in Positive Characteristic

DOI10.2307/2041429zbMath0422.20030OpenAlexW4247246749MaRDI QIDQ3855379

Amassa Fauntleroy

Publication date: 1977

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2041429

zbMATH Keywords

fixed pointshyperplanefundamental representationinvariant polynomial functionsfinite dimensional k-rational representation

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05) Vector and tensor algebra, theory of invariants (15A72) Classical groups (algebro-geometric aspects) (14L35)

Related Items (9)

On the polynomiality of invariant rings for codimension one \(\mathbb {G}_a\)-modules ⋮ Exponential matrices ⋮ Fundamental representations of \(\mathbb{G}_a\) into \(\mathrm{SL}(3, k)\) in positive characteristic ⋮ Algebraic and algebro-geometric interpretations of Weitzenböck's problem ⋮ An algorithm for computing the kernel of a locally finite iterative higher derivation ⋮ A note on the Weitzenböck problem in dimension four ⋮ Global degree bounds and the transfer principle for invariants ⋮ Ordered sets with the standardizing property and straightening laws for algebras of invariants ⋮ Exponential Matrices of Size Five-By-Five

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