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Book Review
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Book Information
Author(s):
V. L. Popov
Title:
Groups, generators, syzygies, and orbits in invariant theory
Additional book information:
(translated from the Russian by A. Martsinkovsky). Translations of Mathematical
Monographs, vol. 100, American Mathematical Society, Providence,
RI, 1992, vi + 245 pp., US$181.00. ISBN 0-8218-4557-8
References:
- [Go]
- N. L. Gordeev, Coranks of elements of linear groups, and complexity of algebras of invariants, Leningrad Math. J. \textbf{2} (1991), 245--267.
- [HR]
- M. Hochster and J. Roberts, Rings of invariants of reductive groups acting on regular rings are Cohen-Macaulay, Adv. Math. \textbf{13} (1974), 125--175.
- [Ke]
- G. Kempf, The Hochster-Roberts theorem in invariant theory, Michigan Math. J. \textbf{26} (1979), 19--32.
- [Kn]
- F. Knop, \"Uber die Glattheit von Quotientenabbildungen, Manuscripta Math. \textbf{56} (1986), 419--426.
- [Mu]
- M. P. Murthy, A note on factorial rings, Arch. Math. \textbf{15} (1964), 418--420.
- [Pa]
- D. I. Panyushev, Regular elements in spaces of linear representations. \RM {II}, Math. USSR-Izv. \textbf{27} (1986), 279--284.
- [St1]
- R. P. Stanley, Hilbert functions of graded algebras, Adv. Math. \textbf{28} (1978), 57--83.
- [St2]
- R. P. Stanley, \emph{Combinatorics and invariant theory}, Amer. Math. Soc., Providence, RI, 1979 pp.~345--355.
Additional Information:
Reviewer(s):
Gerald W.
Schwarz
Review Information:
Journal:
Bull. Amer. Math. Soc.
29
(1993),
299-304.
DOI:
10.1090/S0273-0979-1993-00433-6
PII:
S 0273-0979(1993)00433-6
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