Abstract
In the previous chapter we saw how polynomial automorphisms played a role in the study of dynamical systems. In this chapter we show that polynomial automorphisms arise naturally in the study of group actions on affine varieties and discuss the interplay between group actions, polynomial automorphisms and locally finite, in particular locally nilpotent, derivations.
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© 2000 Springer Basel AG
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van den Essen, A. (2000). Group actions. In: Polynomial Automorphisms. Progress in Mathematics, vol 190. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8440-2_9
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DOI: https://doi.org/10.1007/978-3-0348-8440-2_9
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9567-5
Online ISBN: 978-3-0348-8440-2
eBook Packages: Springer Book Archive