Classical invariant theory and the equivalence problem for particle Lagrangians
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- by Peter J. Olver PDF
- Bull. Amer. Math. Soc. 18 (1988), 21-26
References
- Elie Cartan, Œuvres complètes. Partie I. Groupes de Lie, Gauthier-Villars, Paris, 1952 (French). MR 0050516 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.
- 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 4. R. B. Gardner, personal communication. 5. J. H. Grace and A. Young, The algebra of invariants, Cambridge Univ. Press, Cambridge, 1903.
- G. B. Gurevich, Foundations of the theory of algebraic invariants, P. Noordhoff Ltd., Groningen, 1964. Translated by J. R. M. Radok and A. J. M. Spencer. MR 0183733 7. N. Kamran, P. J. Olver and W. F. Shadwick, work in progress.
- 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, DOI 10.1090/S0273-0979-1984-15188-7
Additional Information
- Journal: Bull. Amer. Math. Soc. 18 (1988), 21-26
- MSC (1985): Primary 15A72, 49F05, 58A15
- DOI: https://doi.org/10.1090/S0273-0979-1988-15579-6
- MathSciNet review: 919652