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Algorithms in invariant theory. 2nd ed. (English) Zbl 1154.13003
Texts and Monographs in Symbolic Computation. Wien: Springer (ISBN 978-3-211-77416-8/pbk). vii, 197 p. EUR 39.95/net; SFR 66.50; \$ 59.95; £ 31.90 (2008).
It is the second edition of the book “Algorithms in Invariant Theory” from 1993 [cf. Texts and Monographs in Symbolic Computation. (Wien): Springer-Verlag. (1993; Zbl 0802.13002)]. The content has not changed: Algorithms for the computation of generators and relations of invariant rings of finite, special and general linear groups based on Gröbner basis techniques. The author gives the relevant references concerning the development in algorithmic invariant theory during the last 15 years.
##### MSC:
 13A50 Actions of groups on commutative rings; invariant theory 68W30 Symbolic computation and algebraic computation 13P10 Gröbner bases; other bases for ideals and modules 15A72 Vector and tensor algebra, theory of invariants
##### Keywords:
invariant theory; Gröbner bases; ring of invariants