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Zbl 1154.13003
Sturmfels, Bernd
Algorithms in invariant theory. 2nd ed. (English)
[B] Texts and Monographs in Symbolic Computation. Wien: Springer. vii, 197~p. EUR~39.95/net; SFR~66.50; \$~59.95; \sterling~31.90 (2008). ISBN 978-3-211-77416-8/pbk

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.
[Gerhard Pfister (Kaiserslautern)]

MSC 2000:: *13A50 Invariant theory
68W30 Symbolic computation and algebraic computation
13P10 Polynomial ideals, Groebner bases
15A72 Vector and tensor algebra

Keywords: invariant theory; Gröbner bases; ring of invariants

Citations: Zbl 0802.13002

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