Hostname: page-component-77c89778f8-vpsfw Total loading time: 0 Render date: 2024-07-20T18:51:42.230Z Has data issue: false hasContentIssue false
  • English
  • Français

On the Modular Representations of the Symmetric Group

Published online by Cambridge University Press:  20 November 2018

G. de B. Robinson
G. de B. Robinson*
Affiliation:
Michigan State College, and University of Toronto
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The study of the modular representation theory of the symmetric group has been greatly facilitated lately by the introduction of the graph (9, III ), the q-graph (5) and the hook-graph (4) of a Young diagram [λ]. In the present paper we seek to coordinate these ideas and relate them to the r-inducing and restricting processes (9, II ).

Type
Part IV
Information
Canadian Journal of Mathematics , Volume 6 , 1954 , pp. 486 - 497
Copyright
Copyright © Canadian Mathematical Society 1954

References

1. Brauer, R. and Robinson, G. de B., On a conjecture by Nakayama, Trans. Roy. Soc. Canada, Series III, 41, section III (1947), 11–19, 20–25.Google Scholar
2. Chung, J. H., Modular representations of the symmetric group, Can. J. Math., 3 (1951), 309––327.Google Scholar
3. Farahat, H., On p-quotients and star diagrams of the symmetric group, Proc. Cambridge Phil. Soc, 49 (1953), 157–160.Google Scholar
4. Frame, J. S., Robinson, G. de B. and Thrall, R. M., The hook graphs of the symmetric group, Can. J. Math., 6 (1954), 316–324.Google Scholar
5. Littlewood, D. E., Modular representations of the symmetric group, Proc. Roy. Soc. London (A), 209 (1951), 333–352.Google Scholar
6. Nakayama, T. and Osima, M., Note on blocks of symmetric groups, Nagoya Math. J., 2 (1951), 336–343.Google Scholar
7. Robinson, G. de B., On the representations of the symmetric group III, Am. J. Math., 70 (1948), 277–294.Google Scholar
8. Robinson, G. de B., Induced representations and invariants, Can. J. Math., 2 (1950), 334–343.Google Scholar
9. Robinson, G. de B., On the modular representations of the symmetric group I, II, III, Proc. Nat. Acad. Sc, 37 (1951), 694–696; 38 (1952), 129–133, 424–426.Google Scholar
10. Staal, R. A., Star diagrams and the symmetric group, Can. J. Math., 2 (1950), 79–92.Google Scholar
11. Thrall, R. M. and Robinson, G. de B., Supplement to a paper by G. de B. Robinson, Am. J. Math., 75(1951), 721–724.Google Scholar