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Adrien Deloro
Veränderungen über einen Satz von Timmesfeld – I. Quadratic Actions
(Variations on a Theorem of Timmesfeld – I. Quadratic Actions)
Confluentes Mathematici, 5 no. 2 (2013), p. 25-46
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Class. Math.: 20G05, 20G15, 17B10, 17B45

Résumé - Abstract

We classify quadratic $\operatorname{SL}_2(\mathbb{K})$- and $\mathfrak{sl}_2(\mathbb{K})$-modules by crude computation, generalising in the first case a Theorem proved independently by F.G. Timmesfeld and S. Smith. The paper is the first of a series dealing with linearisation results for abstract modules of algebraic groups and associated Lie rings.

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