Knop F (1991)
Publication Language: German
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 1991
Publisher: Springer Verlag (Germany)
Book Volume: 105
Pages Range: 217-220
Journal Issue: 1
DOI: 10.1007/BF01232264
The paper studies reductive groups acting (algebraically) on an affine space. Gerald Schwarz found the first examples which are not linearizable, i.e., where the action is not conjugate to a linear action.
The main result of the paper is that every connected, non-abelian, reductive group admits a non-linearizable action on some affine space. In particular, every semisimple group has such an action.
The method is reduction to SL(2,k) and then using Schwarz's examples for that group.
APA:
Knop, F. (1991). Nichtlinearisierbare Operationen halbeinfacher Gruppen auf affinen Räumen. Inventiones Mathematicae, 105(1), 217-220. https://dx.doi.org/10.1007/BF01232264
MLA:
Knop, Friedrich. "Nichtlinearisierbare Operationen halbeinfacher Gruppen auf affinen Räumen." Inventiones Mathematicae 105.1 (1991): 217-220.
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