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Bulletin of the American Mathematical Society

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

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Book Review

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MathSciNet review: 1567198
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Book Information:

Author: G. de B. Robinson
Title: The collected papers of Alfred Young
Additional book information: University of Toronto Press, Toronto and Buffalo, 1977, xxvii + 684 pp., $10.00.

References [Enhancements On Off] (What's this?)

  • G. E. Baird and L. C. Biedenharn, On the representations of the semisimple Lie groups. II, J. Mathematical Phys. 4 (1963), 1449–1466. MR 156922, DOI 10.1063/1.1703926
  • F. N. David and D. E. Barton, Combinatorial chance, Hafner Publishing Co., New York, 1962. MR 0155371
  • D. E. Barton and C. L. Mallows, Some aspects of the random sequence, Ann. Math. Statist. 36 (1965), 236–260. MR 178488, DOI 10.1214/aoms/1177700286
  • Johan G. F. Belinfante and Bernard Kolman, A survey of Lie groups and Lie algebras with applications and computational methods, Classics in Applied Mathematics, vol. 2, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 1989. Reprint of the 1972 original. MR 1015710, DOI 10.1137/1.9781611971330
  • Mark Benard, On the Schur indices of characters of the exceptional Weyl groups, Ann. of Math. (2) 94 (1971), 89–107. MR 297887, DOI 10.2307/1970736
  • Mark Benard, Schur indices and splitting fields of the unitary reflection groups, J. Algebra 38 (1976), no. 2, 318–342. MR 401901, DOI 10.1016/0021-8693(76)90223-4
  • C. T. Benson and L. C. Grove, The Schur indices of the reflection group ${\cal I}_{4}$, J. Algebra 27 (1973), 574–578. MR 327881, DOI 10.1016/0021-8693(73)90065-3
  • C. Berge, Principes de combinatoire, Dunod, Paris, 1968 (French). MR 0237346
  • L. C. Biedenharn and J. D. Louck, Angular momentum in quantum physics, Encyclopedia of Mathematics and its Applications, vol. 8, Addison-Wesley Publishing Co., Reading, Mass., 1981. Theory and application; With a foreword by Peter A. Carruthers. MR 635121
  • William H. Burge, Four correspondences between graphs and generalized Young tableaux, J. Combinatorial Theory Ser. A 17 (1974), 12–30. MR 351884, DOI 10.1016/0097-3165(74)90024-7
    • 11.
    H.-T. Chen, Collective motions of the isospin degrees of freedom of a system of paired nucleons, Nuclear Phys. A 212 (1973), 317-340.
  • Joan E. Herman and Fan R. K. Chung, Some results on hook lengths, Discrete Math. 20 (1977/78), no. 1, 33–40. MR 463279, DOI 10.1016/0012-365X(77)90040-1
  • Jean A. Dieudonné and James B. Carrell, Invariant theory, old and new, Academic Press, New York-London, 1971. MR 0279102
  • R. Elazar and M. Gutterman, On a problem of random walk in space, Canad. Math. Bull. 14 (1971), 503–506. MR 368098, DOI 10.4153/CMB-1971-090-4
  • P. Erdös and G. Szekeres, A combinatorial problem in geometry, Compositio Math. 2 (1935), 463–470. MR 1556929
    • 16.
    M. B. Faist, Angular entropy: the information content of molecular scattering angular distributions, J. Chem. Phys. 66 (1977), 511-523.
  • Charles S. Fisher, The death of a mathematical theory. A study in the sociology of knowledge, Arch. History Exact Sci. 3 (1966), 137–159 (1966). MR 0202546, DOI 10.1007/BF00357267
  • Dominique Foata, Une propriété du vidage-remplissage des tableaux de Young, Combinatoire et représentation du groupe symétrique (Actes#Table Ronde CNRS, Univ. Louis-Pasteur Strasbourg, Strasbourg, 1976) Lecture Notes in Math., Vol. 579, Springer, Berlin, 1977, pp. 121–135 (French). MR 0466293
  • Dominique Foata, Une propriété du vidage-remplissage des tableaux de Young, Combinatoire et représentation du groupe symétrique (Actes#Table Ronde CNRS, Univ. Louis-Pasteur Strasbourg, Strasbourg, 1976) Lecture Notes in Math., Vol. 579, Springer, Berlin, 1977, pp. 121–135 (French). MR 0466293
  • H. O. Foulkes, Paths in ordered structures of partitions, Discrete Math. 9 (1974), 365–374. MR 387071, DOI 10.1016/0012-365X(74)90083-1
  • H. O. Foulkes, Irreducible matrix representations of certain finite groups, J. London Math. Soc. 21 (1946), 226–233. MR 20080, DOI 10.1112/jlms/s1-21.3.226
  • H. O. Foulkes, Recurrences for characters of the symmetric group, Discrete Math. 21 (1978), no. 2, 137–144. MR 523061, DOI 10.1016/0012-365X(78)90086-9
  • J. S. Frame, G. de B. Robinson, and R. M. Thrall, The hook graphs of the symmetric groups, Canad. J. Math. 6 (1954), 316–324. MR 62127, DOI 10.4153/cjm-1954-030-1
    • 24.
    G. Frobenius, Über die charakteristischen Einheiten der symmätrischen Gruppe, Berliner Sitzungsberichte (1903), 328-358 (also, Gesammelte Abhandlungen, vol. 3, Springer-Verlag, Berlin, 1968, pp. 244-274).
    25.
    G. Frobenius, Gesammelte Abhandlungen, 3 vols., Springer-Verlag Berlin and New York, 1968.
  • A. M. Garsia and J. Remmel, On the raising operators of Alfred Young, Relations between combinatorics and other parts of mathematics (Proc. Sympos. Pure Math., Ohio State Univ., Columbus, Ohio, 1978) Proc. Sympos. Pure Math., XXXIV, Amer. Math. Soc., Providence, R.I., 1979, pp. 181–198. MR 525327
  • A. M. Garsia and J. Remmel, Symmetric functions and raising operators, Linear and Multilinear Algebra 10 (1981), no. 1, 15–23. MR 615022, DOI 10.1080/03081088108817389
    • 28.
    J. H. Grace and A. Young, The algebra of invariants, Cambridge Univ. Press, London, 1903 (reprinted: Chelsea, New York).
  • Curtis Greene, An extension of Schensted’s theorem, Advances in Math. 14 (1974), 254–265. MR 354395, DOI 10.1016/0001-8708(74)90031-0
  • Curtis Greene, Some partitions associated with a partially ordered set, J. Combinatorial Theory Ser. A 20 (1976), no. 1, 69–79. MR 398912, DOI 10.1016/0097-3165(76)90078-9
  • Curtis Greene, Some order-theoretic properties of the Robinson-Schensted correspondence, Combinatoire et représentation du groupe symétrique (Actes Table Ronde CNRS, Univ. Louis-Pasteur Strasbourg, Strasbourg, 1976) Lecture Notes in Math., Vol. 579, Springer, Berlin, 1977, pp. 114–120. MR 0462965
  • Larry C. Grove, The characters of the hecatonicosahedroidal group, J. Reine Angew. Math. 265 (1974), 160–169. MR 330275, DOI 10.1515/crll.1974.265.160
  • Thomas Hawkins, Hypercomplex numbers, lie groups, and the creation of group representation theory, Arch. History Exact Sci. 8 (1972), no. 4, 243–287. MR 1554156, DOI 10.1007/BF00328434
    • 34.
    P. Hoefsmit, Representations of generic algebras corresponding to classical Weyl groups, Notices Amer. Math. Soc. 23 (1976), A297-A298.
  • David Hilbert, Ueber die Theorie der algebraischen Formen, Math. Ann. 36 (1890), no. 4, 473–534 (German). MR 1510634, DOI 10.1007/BF01208503
  • A. P. Hillman and R. M. Grassl, Reverse plane partitions and tableau hook numbers, J. Combinatorial Theory Ser. A 21 (1976), no. 2, 216–221. MR 414387, DOI 10.1016/0097-3165(76)90065-0
    • 37.
    A. P. Hillman and R. M. Grassl, Tableaux enumeration and Wronskians, Notices Amer. Math. Soc. 23 (1976), A674.
    38.
    A. P. Hillman and R. M. Grassl, Functions on tableau frames, Notices Amer. Math. Soc. 24 (1977), A636.
  • A. P. Hillman and R. M. Grassl, Polynomial ring generated by tableau shapes, European J. Combin. 2 (1981), no. 1, 27–39. MR 611929, DOI 10.1016/S0195-6698(81)80018-2
  • D. B. Hunter, On a result in Young’s quantitative substitutional analysis, Proc. Edinburgh Math. Soc. (2) 15 (1966/67), 257–262. MR 228599, DOI 10.1017/S0013091500011895
  • D. B. Hunter, The reduction of a direct product of compound matrices, Quart. J. Math. Oxford Ser. (2) 18 (1967), 199–206. MR 219558, DOI 10.1093/qmath/18.1.199
  • D. B. Hunter, The reduction of a direct product of induced matrices, Quart. J. Math. Oxford Ser. (2) 19 (1968), 81–87. MR 222098, DOI 10.1093/qmath/19.1.81
  • D. B. Hunter, Unitary representations of the unitary group, Proc. Cambridge Philos. Soc. 65 (1969), 377–386. MR 236281, DOI 10.1017/s0305004100044352
  • G. D. James, Representations of the symmetric groups over the field of order $2$, J. Algebra 38 (1976), no. 2, 280–308. MR 396734, DOI 10.1016/0021-8693(76)90220-9
  • G. D. James, The irreducible representations of the symmetric groups, Bull. London Math. Soc. 8 (1976), no. 3, 229–232. MR 417272, DOI 10.1112/blms/8.3.229
  • G. D. James, On the decomposition matrices of the symmetric groups. I, J. Algebra 43 (1976), no. 1, 42–44. MR 430049, DOI 10.1016/0021-8693(76)90142-3
  • G. D. James, On the decomposition matrices of the symmetric groups. I, J. Algebra 43 (1976), no. 1, 42–44. MR 430049, DOI 10.1016/0021-8693(76)90142-3
  • G. D. James, A characteristic-free approach to the representation theory of ${\mathfrak {S}}_{n}$, J. Algebra 46 (1977), no. 2, 430–450. MR 439924, DOI 10.1016/0021-8693(77)90380-5
  • G. D. James, Some combinatorial results involving Young diagrams, Math. Proc. Cambridge Philos. Soc. 83 (1978), no. 1, 1–10. MR 463280, DOI 10.1017/S0305004100054220
  • G. D. James, On a conjecture of Carter concerning irreducible Specht modules, Math. Proc. Cambridge Philos. Soc. 83 (1978), no. 1, 11–17. MR 463281, DOI 10.1017/S0305004100054232
  • G. D. James, The representation theory of the symmetric groups, Lecture Notes in Mathematics, vol. 682, Springer, Berlin, 1978. MR 513828
    • 52.
    A. Kerber, On a connection between the representation theories of symmetric groups and general finite groups, Proceedings of the Alfred Young Day Conference, Waterloo, 1978.
  • Donald E. Knuth, Permutations, matrices, and generalized Young tableaux, Pacific J. Math. 34 (1970), 709–727. MR 272654
  • Donald Knutson, $\lambda$-rings and the representation theory of the symmetric group, Lecture Notes in Mathematics, Vol. 308, Springer-Verlag, Berlin-New York, 1973. MR 0364425
    • 55.
    G. Kreweras, Sur une classe de problèmes de dénombrement liés au treillis des partitions des entiers, Cahiers du B. U. R. O., No. 6, Paris, 1965.
  • Germain Kreweras, Sur une extension du problème dit “de Simon Newcomb”, C. R. Acad. Sci. Paris Sér. A-B 263 (1966), A43–A45 (French). MR 200180
    • 57.
    G. Kreweras, Traitement simultané du "problème de Young" et du "problème de Simon Newcomb", Cahiers du B. U. R. O., No. 10, Paris, 1967.
  • Germain Kreweras, Inversion des polynômes de Bell bidimensionnels et application au dénombrement des relations binaires connexes, C. R. Acad. Sci. Paris Sér. A-B 268 (1969), A577–A579 (French). MR 252239
  • G. Kreweras, Dénombrements systématiques de relations binaires externes, Math. Sci. Humaines 26 (1969), 5–15 (French). MR 265183
    • 60.
    G. Kreweras, Sur les éventails de segments, Cahiers du B. U. R. O., No. 15, Paris, 1970.
    61.
    G. Kreweras, Standard Young tableaux and families of segments, Proceedings of the Alfred Young Day Conference, Waterloo, June 2, 1978, T. V. Narayana (editor).
  • Bernhard Lesche, A theorem on Ruch’s principle of nonequilibrium statistics, J. Mathematical Phys. 17 (1976), no. 3, 427–430. MR 403520, DOI 10.1063/1.522911
    • 63.
    B. Lesche and E. Ruch, Information extent and information distance, J. Chem. Phys. 69 (1978), 393-401.
    64.
    D. E. Littlewood, The theory of group characters, 2nd ed., Oxford Univ. Press, London, 1950.
  • D. E. Littlewood, A university algebra, Dover Publications, Inc., New York, 1970. An introduction to classic and modern algebra; Republication of the second (1958) edition. MR 0345745
    • 66.
    D. E. Littlewood, The skeleton key of mathematics, Hutchinson Univ. Library, London, 1960 (Reprinted in French translation: Le passe-partout mathématique, Masson et Cie, Paris, 1964).
  • I. G. Macdonald, On the degrees of the irreducible representations of finite Coxeter groups, J. London Math. Soc. (2) 6 (1973), 298–300. MR 314959, DOI 10.1112/jlms/s2-6.2.298
    • 68.
    I. G. Macdonald, Symmetric functions and Hall polynomials (to appear).
  • Percy Alexander MacMahon, Collected papers. Vol. I, Mathematicians of Our Time, MIT Press, Cambridge, Mass.-London, 1978. Combinatorics; Edited and with a preface by George E. Andrews; With an introduction by Gian-Carlo Rota. MR 514405
  • A. O. Morris, Projective representations of Abelian groups, J. London Math. Soc. (2) 7 (1973), 235–238. MR 327885, DOI 10.1112/jlms/s2-7.2.235
  • A. O. Morris, Projective characters of exceptional Weyl groups, J. Algebra 29 (1974), 567–586. MR 344330, DOI 10.1016/0021-8693(74)90091-X
  • A. O. Morris, Projective representations of Weyl groups, J. London Math. Soc. (2) 8 (1974), 125–133. MR 338149, DOI 10.1112/jlms/s2-8.1.125
  • J. W. Davies and A. O. Morris, The Schur multiplier of the generalized symmetric group, J. London Math. Soc. (2) 8 (1974), 615–620. MR 347987, DOI 10.1112/jlms/s2-8.4.615
  • A. O. Morris, Projective representations of reflection groups, Proc. London Math. Soc. (3) 32 (1976), no. 3, 403–420. MR 486086, DOI 10.1112/plms/s3-32.3.403
  • David Mumford, Geometric invariant theory, Ergebnisse der Mathematik und ihrer Grenzgebiete, (N.F.), Band 34, Springer-Verlag, Berlin-New York, 1965. MR 0214602
    • 76.
    F. D. Murnaghan, The theory of group representations, Johns Hopkins Press, Baltimore, Md., 1938.
  • T. Nakayama, On some modular properties of irreducible representations of a symmetric group. I, Jpn. J. Math. 18 (1941), 89–108. MR 5729
  • Tadasi Nakayama, On some modular properties of irreducible representations of symmetric groups. II, Jpn. J. Math. 17 (1941), 411–423. MR 5730, DOI 10.4099/jjm1924.17.0_{1}65
  • Tadepalli Venkata Narayana, Sur les treillis formés par les partitions d’un entier et leurs applications à la théorie des probabilités, C. R. Acad. Sci. Paris 240 (1955), 1188–1189 (French). MR 70648
  • T. V. Narayana, A partial order and its applications to probability theory, Sankhyā 21 (1959), 91–98. MR 106498
    • 81.
    T. V. Narayana, A generalization of ballot theorems (abstract), Ann. Math. Statist. 33 (1962), 821.
    82.
    T. V. Narayana, (editor), Proceedings of the Alfred Young Day Conference, Waterloo, June 2, 1978.
    83.
    W. E. Palke, Electronic structure of LiH according to a generalization of the valence bond method, J. Chem. Phys. 50 (1969), 4524-4532.
    84.
    V. Prelog, Chirality in Chemistry, Science 193 (1976), July, pp. 17-24.
  • B. M. Puttaswamaiah, On the reduction of permutation representations, Canad. Math. Bull. 6 (1963), 385–395. MR 158938, DOI 10.4153/CMB-1963-033-4
  • B. M. Puttaswamaiah and G. de B. Robinson, Induced representations and alternating groups, Canadian J. Math. 16 (1964), 587–601. MR 167542, DOI 10.4153/CJM-1964-060-5
  • B. M. Puttaswamaiah, Unitary representations of generalized symmetric groups, Canadian J. Math. 21 (1969), 28–38. MR 237669, DOI 10.4153/CJM-1969-003-3
  • G. de B. Robinson, On the Representations of the Symmetric Group, Amer. J. Math. 60 (1938), no. 3, 745–760. MR 1507943, DOI 10.2307/2371609
  • G. de B. Robinson, On the representations of the symmetric group. II, Amer. J. Math. 69 (1947), 286–298. MR 20557, DOI 10.2307/2371853
  • G. de B. Robinson, On the representations of the symmetric group. III, Amer. J. Math. 70 (1948), 277–294. MR 29905, DOI 10.2307/2372326
  • G. de B. Robinson, Representation theory of the symmetric group, Mathematical Expositions, No. 12, University of Toronto Press, Toronto, 1961. MR 0125885
  • Gilbert de B. Robinson, The papers of Alfred Young (1873–1940), Combinatoire et représentation du groupe symétrique (Actes Table Ronde C.N.R.S., Univ. Louis-Pasteur Strasbourg, Strasbourg, 1976) Lecture Notes in Math., Vol. 579, Springer, Berlin, 1977, pp. 11–28. MR 0437276
    • 93.
    G. de B. Robinson, Alfred Young as I knew him, Proceedings of the Alfred Young Day Conference, Waterloo, June 2, 1978, T. V. Narayana (editor).
    94.
    G.-C. Rota, Combinatorial theory and invariant theory, Notes by L. Guibas, Bowdoin College, Maine, 1971.
  • 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
  • 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
    • 97.
    E. Ruch and A. Schönhofer, Theorie der Chiralitätsfunktionen, Theoret. Chim. Acta (Berlin) 19 (1970), 225-287.
  • Ernst Ruch, The diagram lattice as structural principle, Theoret. Chim. Acta 38 (1975), no. 3, 167–183. MR 503057, DOI 10.1007/BF01125896
    • 99.
    E. Ruch and A. Mead, The principle of increasing mixing character and some of its consequences, Theoret. Chim. Acta (Berlin) 41 (1976), 95-117.
  • Daniel Edwin Rutherford, Substitutional Analysis, Edinburgh, at the University Press, 1948. MR 0027272
  • C. Schensted, Longest increasing and decreasing subsequences, Canadian J. Math. 13 (1961), 179–191. MR 121305, DOI 10.4153/CJM-1961-015-3
    • 102.
    I. J. Schur, Neue Begründung der Theorie Gruppencharaktere, Sitz. Preuss. Akad (1905), 406-432.
  • 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
  • M. P. Schützenberger, Quelques remarques sur une construction de Schensted, Math. Scand. 12 (1963), 117–128 (French). MR 190017, DOI 10.7146/math.scand.a-10676
  • M.-P. Schützenberger, La correspondance de Robinson, Combinatoire et représentation du groupe symétrique (Actes Table Ronde CNRS, Univ. Louis-Pasteur Strasbourg, Strasbourg, 1976) Lecture Notes in Math., Vol. 579, Springer, Berlin, 1977, pp. 59–113 (French). MR 0498826
  • Binyamin Schwarz, Rearrangements of square matrices with non-negative elements, Duke Math. J. 31 (1964), 45–62. MR 157980
  • Richard P. Stanley, Theory and application of plane partitions. I, II, Studies in Appl. Math. 50 (1971), 167–188; ibid. 50 (1971), 259–279. MR 325407, DOI 10.1002/sapm1971503259
  • Richard P. Stanley, Theory and application of plane partitions. I, II, Studies in Appl. Math. 50 (1971), 167–188; ibid. 50 (1971), 259–279. MR 325407, DOI 10.1002/sapm1971503259
    • 109.
    G. P. Steck, A new formula for $P(R\sbiłeq b\sbi,\,1łeq iłeq mm,\,n,\,F=G\spk)$, Ann. Probability 2 (1974), 155-160.
    110.
    G. P. Steck, Lattice paths and accelerated life testing, Proceedings of the Alfred Young Day Conference, Waterloo, June 2, 1978, T. V. Narayana (editor).
  • Glânffrwd P. Thomas, Frames, Young tableaux, and Baxter sequences, Advances in Math. 26 (1977), no. 3, 275–289. MR 480065, DOI 10.1016/0001-8708(77)90042-1
  • Glânffrwd P. Thomas, Further results on Baxter sequences and generalized Schur functions, Combinatoire et représentation du groupe symétrique (Actes Table Ronde CNRS, Univ. Louis-Pasteur Strasbourg, Strasbourg, 1976) Lecture Notes in Math., Vol. 579, Springer, Berlin, 1977, pp. 155–167. MR 0472546
  • Glânffrwd P. Thomas, On a construction of Schützenberger, Discrete Math. 17 (1977), no. 1, 107–118. MR 450084, DOI 10.1016/0012-365X(77)90024-3
  • Jacob Towber, Two new functors from modules to algebras, J. Algebra 47 (1977), no. 1, 80–104. MR 469955, DOI 10.1016/0021-8693(77)90211-3
    • 115.
    J. Towber, Transvection and the flag manifold, Proceedings of the Alfred Young Day Conference, Waterloo, June 2, 1978, T. V. Narayana (editor).
    116.
    H. W. Turnbull, The theory of determinants, matrices and invariants, Blackie, London, 1928.
  • G. Viennot, Une forme géométrique de la correspondance de Robinson-Schensted, Combinatoire et représentation du groupe symétrique (Actes Table Ronde CNRS, Univ. Louis-Pasteur Strasbourg, Strasbourg, 1976) Lecture Notes in Math., Vol. 579, Springer, Berlin, 1977, pp. 29–58 (French). MR 0470059
  • 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
  • Neil L. White, The bracket ring of a combinatorial geometry. I, Trans. Amer. Math. Soc. 202 (1975), 79–95. MR 387095, DOI 10.1090/S0002-9947-1975-0387095-9
  • Neil L. White, The bracket ring of a combinatorial geometry. II. Unimodular geometries, Trans. Amer. Math. Soc. 214 (1975), 233–248. MR 447023, DOI 10.1090/S0002-9947-1975-0447023-4
    • 121.
    E. P. Wigner, Symmetric principles in old and new physics, Bull. Amer. Math. Soc. 74 (1968), 793-815.
    Review Information:

    Reviewer: George E. Andrews
    Journal: Bull. Amer. Math. Soc. 1 (1979), 989-997
    DOI: https://doi.org/10.1090/S0273-0979-1979-14710-4