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Classical invariant theory and the equivalence problem for particle Lagrangians
Author:
Peter J. Olver
Journal:
Bull. Amer. Math. Soc. 18 (1988), 21-26
MSC (1985):
Primary 15A72, 49F05, 58A15
MathSciNet review:
919652
Full-text PDF
References |
Similar Articles |
Additional Information
- 1.
Elie
Cartan, Œuvres complètes. Partie I. Groupes de
Lie, Gauthier-Villars, Paris, 1952 (French). MR 0050516
(14,343f)
- 2.
É. Cartan, Sur un problème d'équivalence et la théorie des espaces métriques généralisés, Oeuvres Complètes, part III, Gauthier-Villars, Paris, 1955, pp. 1131-1153.
- 3.
Robert
B. Gardner, Differential geometric methods interfacing control
theory, Differential geometric control theory (Houghton, Mich., 1982)
Progr. Math., vol. 27, Birkhäuser Boston, Mass., 1983,
pp. 117–180. MR 708501
(84k:58009)
- 4.
R. B. Gardner, personal communication.
- 5.
J. H. Grace and A. Young, The algebra of invariants, Cambridge Univ. Press, Cambridge, 1903.
- 6.
G.
B. Gurevich, Foundations of the theory of algebraic
invariants, Translated by J. R. M. Radok and A. J. M. Spencer, P.
Noordhoff Ltd., Groningen, 1964. MR 0183733
(32 #1211)
- 7.
N. Kamran, P. J. Olver and W. F. Shadwick, work in progress.
- 8.
Joseph
P. S. Kung and Gian-Carlo
Rota, The invariant theory of binary
forms, Bull. Amer. Math. Soc. (N.S.)
10 (1984), no. 1,
27–85. MR
722856 (85g:05002), http://dx.doi.org/10.1090/S0273-0979-1984-15188-7
- 1.
- É. Cartan, Les problèmes d'équivalence, Oeuvres Complètes, part II, Gauthier-Villars, Paris, 1952, pp. 1311-1334. MR 50516
- 2.
- É. Cartan, Sur un problème d'équivalence et la théorie des espaces métriques généralisés, Oeuvres Complètes, part III, Gauthier-Villars, Paris, 1955, pp. 1131-1153.
- 3.
- R. B. Gardner, Differential geometric methods interfacing control theory, Differential Geometric Control Theory (R. W. Brockett et al., eds., ), Birkhauser, Boston, 1983. MR 708501
- 4.
- R. B. Gardner, personal communication.
- 5.
- J. H. Grace and A. Young, The algebra of invariants, Cambridge Univ. Press, Cambridge, 1903.
- 6.
- G. B. Gurevich, Foundations of the theory of algebraic invariants, P. Noordhoff Ltd., Groningen, Holland, 1964. MR 183733
- 7.
- N. Kamran, P. J. Olver and W. F. Shadwick, work in progress.
- 8.
- J. P. S. Kung and G.-C. Rota, The invariant theory of binary forms, Bull. Amer. Math. Soc. (N.S.) 10 (1984), 27-85. MR 722856
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0273-0979-1988-15579-6
PII:
S 0273-0979(1988)15579-6
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