Book Review
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Book Information:
Author:
Peter Olver
Title:
Classical invariant theory
Additional book information:
London Mathematical Society Student Texts, vol. 44, Cambridge Univ. Press, New York,
1999,
xxi+280 pp.,
ISBN 0-521-55821-2,
$21.95$
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 1606831
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
- 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 1606831
- 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
Review Information:
Reviewer:
Harm Derksen
Affiliation:
University of Michigan, Ann Arbor
Email:
hderksen@math.lsa.umich.edu
Journal:
Bull. Amer. Math. Soc.
38 (2001), 383-387
Published electronically:
March 27, 2001
Additional Notes:
Reviewer supported by NSF, grant DMS 9970165.
Review copyright:
© Copyright 2001
American Mathematical Society
