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

     

The invariant theory of binary forms

Author(s): Joseph P. S. Kung; Gian-Carlo Rota
Journal: Bull. Amer. Math. Soc. 10 (1984), 27-85.
MSC (1980): Primary 05-02, 13-02, 14-02, 15-02
MathSciNet review: 722856
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References:

A. Cayley, Collected mathematical papers, Vols. 1-12, Cambridge Univ. Press, Cambridge, 1889-1897.

L. E. Dickson, Algebraic invariants, Wiley, New York, 1914.

J. A. Dieudonné and J. B. Carrell, Invariant theory, old and new, Academic Press, New York and London, 1971. MR 279102

E. B. Elliot, An introduction to the algebra of quantics, 2nd ed., Oxford Univ. Press, Oxford, 1913.

P. Gordan, Vorlesungen über Invariantentheorie (G. Kershensteiner, ed.), Vols. I, II, Teubner, Leipzig, 1885, 1887.

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, Noordhoff, Groningen, 1964. MR 183733

C. Hermite, Oeuvres (E. Picard, ed.), Vols. I-IV, Gauthier-Villars, Paris, 1905-1917.

D. Hilbert, Gesammelte Abhandlungen, Vol. II, Springer-Verlag, Berlin, 1933.

J. P. S. Kung (Editor), Young tableaux in combinatorics, invariant theory, and algebra, Academic Press, New York and London, 1982. MR 693460

P. A. MacMahon, Collected papers (G. Andrews, ed.), Vol. II, M. I. T. Press, Cambridge, 1984.

W. F. Meyer, Bericht über den gegenwartigen Stand der Invariantentheorie, Jahresber. Deutsch. Math.-Verein. 1 (1890-1891).

D. Mumford, Geometric invariant theory, Springer-Verlag, Berlin and New York, 1965. MR 214602

I. Schur, Vorlesungen über Invariantentheorie (H. Grunsky, ed.), Springer-Verlag, Berlin and New York, 1968. MR 229674

T. A. Springer, Invariant theory, Lecture Notes in Math., vol. 585, Springer-Verlag, Berlin and New York, 1977. MR 447428

E. Study, Methoden zur Theorie der ternäen Formen, Teubner, Leipzig, 1889 (reprinted with an introduction by G.-C. Rota, Springer-Verlag, Berlin and New York, 1982). MR 669025

J. J. Sylvester, Collected mathematical papers, Vols. I-IV, Cambridge Univ. Press, New York, 1904-1912.

H. W. Turnbull, The theory of determinants, matrices, and invariants, Blackie, London, 1931.

H. Weyl, The classical groups, their invariants and representations, 2nd ed., Princeton Univ. Press, Princeton, N. J., 1946. MR 1488158

H. Weyl, Gesammelte Abhandlungen (K. Chandrasekharan, ed.), Vols. 1-4, Springer-Verlag, Berlin and New York, 1968. MR 230597

A. Young, Collected papers, Univ. of Toronto Press, Toronto and Buffalo, 1977. MR 439548

P. J. Cohen, Decision procedures for real and p-adic fields, Comm. Pure Appl. Math. 22 (1969), 131-152. MR 244025

J. Désarménien, J. P. S. Kung and G.-C. Rota, Invariant theory, Young bitableaux, and combinatorics, Adv. in Math. 27 (1978), 63-92. MR 485944

P. Doubilet, G.-C. Rota and J. Stein, On the foundations of combinatorial theory. IX: Combinatorial methods in invariant theory, Stud. Appl. Math. 53 (1974), 185-216. MR 498650

C. Hermite, Sur la théorie, des fonctions homogènes à deux indéterminées, Cambridge and Dublin Math. J., 1854 (= Oeuvres, Vol. I, pp. 298-349).

D. Hilbert, Über die Endlichkeit des Invariantensystems für binären Grundformen, Math. Ann. 33 (1889), 223-226 (= Gesammelte Abhandlungen, Vol. II, pp. 162-164).

M. Katz, O Nowym Sposobie rozwiazywanie rownan, Stopnia trzeciego; Mlody Matematyk, Nos. 4-5 (April/May 1931), 69-71.

A. B. Kempe, On regular difference terms, Proc. London Math. Soc. 25 (1894), 343-359.

G.-C. Rota, The number of partitions of a set, Amer. Math. Monthly 71 (1964), 498-504. MR 161805

J. J. Sylvester, An essay on canonical forms, supplement to a sketch of a memoir on elimination, transformation and canonical forms, George Bell, Fleet Street, 1851 (= Collected papers, Vol. I, Paper 34).

J. J. Sylvester, On a remarkable discovery in the theory of canonical forms and of hyperdeterminants, Phil. Mag. 2 (1851), 391-410 (= Collected papers, Vol. I, Paper 41).


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Additional Information:

DOI: 10.1090/S0273-0979-1984-15188-7
PII: S 0273-0979(1984)15188-7




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