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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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The invariant theory of binary forms
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by Joseph P. S. Kung and Gian-Carlo Rota PDF
Bull. Amer. Math. Soc. 10 (1984), 27-85
References
    A. Cayley, Collected mathematical papers, Vols. 1-12, Cambridge Univ. Press, Cambridge, 1889-1897. L. E. Dickson, Algebraic invariants, Wiley, New York, 1914.
  • Jean A. Dieudonné and James B. Carrell, Invariant theory, old and new, Academic Press, New York-London, 1971. MR 0279102
    • 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, P. Noordhoff Ltd., Groningen, 1964. Translated by J. R. M. Radok and A. J. M. Spencer. MR 0183733
    • C. Hermite, Oeuvres (E. Picard, ed.), Vols. I-IV, Gauthier-Villars, Paris, 1905-1917. D. Hilbert, Gesammelte Abhandlungen, Vol. II, Springer-Verlag, Berlin, 1933.
  • Joseph P. S. Kung (ed.), Young tableaux in combinatorics, invariant theory, and algebra, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York-London, 1982. An anthology of recent work. 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).
  • David Mumford, Geometric invariant theory, Ergebnisse der Mathematik und ihrer Grenzgebiete, (N.F.), Band 34, Springer-Verlag, Berlin-New York, 1965. MR 0214602, DOI 10.1007/978-3-662-00095-3
  • Issai Schur, Vorlesungen über Invariantentheorie, Die Grundlehren der mathematischen Wissenschaften, Band 143, Springer-Verlag, Berlin-New York, 1968 (German). Bearbeitet und herausgegeben von Helmut Grunsky. MR 0229674, DOI 10.1007/978-3-642-95032-2
  • T. A. Springer, Invariant theory, Lecture Notes in Mathematics, Vol. 585, Springer-Verlag, Berlin-New York, 1977. MR 0447428, DOI 10.1007/BFb0095644
  • Eduard Study, Methoden zur Theorie der ternären Formen, Springer-Verlag, Berlin-New York, 1982 (German). Reprint of the 1889 original; With an introduction by Gian-Carlo Rota. MR 669025, DOI 10.1007/978-3-642-67532-4
    • 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.
  • Hermann Weyl, The classical groups, Princeton Landmarks in Mathematics, Princeton University Press, Princeton, NJ, 1997. Their invariants and representations; Fifteenth printing; Princeton Paperbacks. MR 1488158
  • Hermann Weyl, Gesammelte Abhandlungen. Bände I, II, III, IV, Springer-Verlag, Berlin-New York, 1968 (German). Herausgegeben von K. Chandrasekharan. MR 0230597
  • Alfred Young, The collected papers of Alfred Young (1873–1940), Mathematical Expositions, No. 21, University of Toronto Press, Toronto, Ont.-Buffalo, N.Y., 1977. With a foreword by G. de B. Robinson and a biography by H. W. Turnbull. MR 0439548, DOI 10.3138/9781487575625
  • Paul J. Cohen, Decision procedures for real and $p$-adic fields, Comm. Pure Appl. Math. 22 (1969), 131–151. MR 244025, DOI 10.1002/cpa.3160220202
  • J. Désarménien, Joseph P. S. Kung, and Gian-Carlo Rota, Invariant theory, Young bitableaux, and combinatorics, Advances in Math. 27 (1978), no. 1, 63–92. MR 485944, DOI 10.1016/0001-8708(78)90077-4
  • Peter Doubilet, Gian-Carlo Rota, and Joel Stein, On the foundations of combinatorial theory. IX. Combinatorial methods in invariant theory, Studies in Appl. Math. 53 (1974), 185–216. MR 498650, DOI 10.1002/sapm1974533185
    • 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.
  • Gian-Carlo Rota, The number of partitions of a set, Amer. Math. Monthly 71 (1964), 498–504. MR 161805, DOI 10.2307/2312585
    • 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
  • Journal: Bull. Amer. Math. Soc. 10 (1984), 27-85
  • MSC (1980): Primary 05-02, 13-02, 14-02, 15-02
  • DOI: https://doi.org/10.1090/S0273-0979-1984-15188-7
  • MathSciNet review: 722856