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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)
     

Book Review

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Book Information

Author(s): Peter Olver
Title: Classical invariant theory
Additional book information: London Mathematical Society Student Texts, vol. 44, Cambridge Univ. Press, New York, 1999, xxi+280, $21.95, ISBN 0-521-55821-2


References:

1.
E. Calabi, P. J. Olver, C. Shakiban, A. Tannenbaum, S. Haker, Differential and numerically invariant signature curves applied to object recognition, Int. J. Computer Vision 26 (1998), 107-135.

2.
P. Gordan, Beweiss, dass jede Covariante und Invariante einer binären Form eine ganze Funktion mit numerischen Coefficienten einer endlichen Anzahl solcher Formen ist, J. Reine Angew. Math. 69 (1968), 323-354.

3.
J. H. Grace, A. Young, The Algebra of Invariants, Cambridge Univ. Press, Cambridge, 1903.

4.
R. Goodman, N. R. Wallach, Representations and Invariants of the Classical Groups, Cambridge University Press, 1998. MR 99b:20073

5.
D. Hilbert, Über die Theorie der algebraischen Formen, Math. Ann. 36 (1890), 313-373; also Gesammelte Abhandlungen, vol. 2, Springer-Verlag, Berlin, 1933, 199-257.

6.
D. Hilbert, Über die vollen Invariantensysteme, Math. Ann. 42 (1893), 313-373; also Gesammelte Abhandlungen, vol. 2, Springer-Verlag, Berlin, 1933, 287-344.

7.
H. Weyl, The Classical Groups, Their Invariants and Representations, Princeton University Press, Princeton, N.J., 1939. MR 1:42c


Additional Information:

Reviewer(s):
Harm Derksen
Affiliation: University of Michigan, Ann Arbor
Email: hderksen@math.lsa.umich.edu

Review Information:
Journal: Bull. Amer. Math. Soc. 38 (2001), 383-387.

MSC (2000): Primary 13A50
PII: S 0273-0979(01)00908-9
Posted: March 27, 2001
Additional notes: Reviewer supported by NSF, grant DMS 9970165.
Copyright of article: Copyright 2001, American Mathematical Society


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