On D. E. Littlewood’s algebra of $S$-function
HTML articles powered by AMS MathViewer
- by E. M. Ibrahim PDF
- Proc. Amer. Math. Soc. 7 (1956), 199-202 Request permission
References
- D. G. Duncan, On D. E. Littlewood’s algebra of $S$-functions, Canad. J. Math. 4 (1952), 504–512. MR 51212, DOI 10.4153/cjm-1952-045-3
- D. G. Duncan, Note on the algebra of $S$-functions, Canad. J. Math. 6 (1954), 509–510. MR 64745, DOI 10.4153/cjm-1954-054-3
- H. O. Foulkes, Differential operators associated with $S$-functions, J. London Math. Soc. 24 (1949), 136–143. MR 30500, DOI 10.1112/jlms/s1-24.2.136
- H. O. Foulkes, A note on $S$ functions, Quart. J. Math. Oxford Ser. 20 (1949), 190–192. MR 30501, DOI 10.1093/qmath/os-20.1.190
- E. M. Ibrahim, The plethysm of $S$-functions, Quart. J. Math. Oxford Ser. (2) 3 (1952), 50–55. MR 49895, DOI 10.1093/qmath/3.1.50 —, Tables for the plethysm of S-functions of degree 10, 12, Proc. Math. Soc. Egypt (1954).
- D. E. Littlewood, Invariants of systems of quadrics, Proc. London Math. Soc. (2) 49 (1947), 282–306. MR 20542, DOI 10.1112/plms/s2-49.4.282
- D. E. Littlewood, Invariant theory, tensors and group characters, Philos. Trans. Roy. Soc. London Ser. A 239 (1944), 305–365. MR 10594, DOI 10.1098/rsta.1944.0001
- F. D. Murnaghan, On the invariant theory of the classical groups, Proc. Nat. Acad. Sci. U.S.A. 38 (1952), 966–973. MR 51236, DOI 10.1073/pnas.38.11.966
- Francis D. Murnaghan, A generalization of Hermite’s law of reciprocity, Proc. Nat. Acad. Sci. U.S.A. 37 (1951), 439–441. MR 43066, DOI 10.1073/pnas.37.7.439
- Francis D. Murnaghan, On the analysis of representations of the linear group, Proc. Nat. Acad. Sci. U.S.A. 37 (1951), 51–55. MR 39726, DOI 10.1073/pnas.37.1.51
- M. J. Newell, A theorem on the plethysm of $S$-functions, Quart. J. Math. Oxford Ser. (2) 2 (1951), 161–166. MR 43762, DOI 10.1093/qmath/2.1.161
- G. de B. Robinson, On the disjoint product of irreducible representations of the symmetric group, Canad. J. Math. 1 (1949), 166–175. MR 28830, DOI 10.4153/cjm-1949-015-8
- G. de B. Robinson, Induced representations and invariants, Canad. J. Math. 2 (1950), 334–343. MR 36213, DOI 10.4153/cjm-1950-032-4
- R. M. Thrall, On symmetrized Kronecker powers and the structure of the free Lie ring, Amer. J. Math. 64 (1942), 371–388. MR 6149, DOI 10.2307/2371691
- J. A. Todd, A note on the algebra of $S$-functions, Proc. Cambridge Philos. Soc. 45 (1949), 328–334. MR 29875, DOI 10.1017/s0305004100024932 M. Zia-UD-Dim, Invariant matrices and S-functions, Proceedings of the Edinburgh Mathematical Society vol. 5 (1936) pp. 43-45.
Additional Information
- © Copyright 1956 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 7 (1956), 199-202
- MSC: Primary 20.0X
- DOI: https://doi.org/10.1090/S0002-9939-1956-0078366-8
- MathSciNet review: 0078366