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An algorithm for computing invariants of linear actions of algebraic groups up to a given degree

✍ Scribed by Thomas Bayer

Book ID
104344840
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
114 KB
Volume
35
Category
Article
ISSN
0747-7171

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✍ Arno van den Essen πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 159 KB

We describe an algorithm which computes the invariants of all \(G_{a}\)-actions on affine varieties, in case the invariant ring is finitely generated. The algorithm is based on a study of the kernel of a locally nilpotent derivation and some algoritlums from the theory of GrΓΆbner bases.