Abstract
We have seen that the invariant ring of a G a -action on an affine variety need not be finitely generated as a k-algebra. But in many important cases, most notably in the linear case, the invariant ring is known to be finitely generated, and in these cases it is desirable to have effective means of calculating invariants. In this chapter, we consider constructive invariant theory for G a -actions, beginning with the classical linear case.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer
About this chapter
Cite this chapter
Freudenburg, G. (2006). Algorithms. In: Algebraic Theory of Locally Nilpotent Derivations. Encyclopaedia of Mathematical Sciences, vol 136. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-29523-5_9
Download citation
DOI: https://doi.org/10.1007/978-3-540-29523-5_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-29521-1
Online ISBN: 978-3-540-29523-5
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)