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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. 2 (1991), 245-267. MR 1062262 (91h:20063)
- [HR]
- M. Hochster and J. Roberts, Rings of invariants of reductive groups acting on regular rings are Cohen-Macaulay, Adv. Math. 13 (1974), 125-175. MR 0347810 (50:311)
- [Ke]
- G. Kempf, The Hochster-Roberts theorem in invariant theory, Michigan Math. J. 26 (1979), 19-32. MR 514958 (80g:14040)
- [Kn]
- F. Knop, Über die Glattheit von Quotientenabbildungen, Manuscripta Math. 56 (1986), 419-426. MR 860731 (88f:14041)
- [Mu]
- M. P. Murthy, A note on factorial rings, Arch. Math. 15 (1964), 418-420. MR 0173695 (30:3905)
- [Pa]
- D. I. Panyushev, Regular elements in spaces of linear representations. II, Math. USSR-Izv. 27 (1986), 279-284. MR 810527 (87c:14011)
- [St1]
- R. P. Stanley, Hilbert functions of graded algebras, Adv. Math. 28 (1978), 57-83. MR 0485835 (58:5637)
- [St2]
- -, Combinatorics and invariant theory, Proc. Sympos. Pure. Math., vol. 34, Amer. Math. Soc., Providence, RI, 1979, pp. 345-355. MR 525334 (80e:15020)
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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