• [1] R. M. Thrall, On symmetrized Kronecker powers and the structure of the free Lie ring, Amer. J. Math. 64 (1942), 371–388. MR 0006149, https://doi.org/10.2307/2371691
• [2] Angeline Brandt, The free Lie ring and Lie representations of the full linear group, Trans. Amer. Math. Soc. 56 (1944), 528–536. MR 0011305, https://doi.org/10.1090/S0002-9947-1944-0011305-0
• [3] J. S. Frame, G. de B. Robinson, and R. M. Thrall, The hook graphs of the symmetric groups, Canadian J. Math. 6 (1954), 316–324. MR 0062127
• [4] F. D. Murnaghan, Theory of group representations, Baltimore, 1938.
• [5] H. O. Foulkes, A note on 𝑆 functions, Quart. J. Math., Oxford Ser. 20 (1949), 190–192. MR 0030501
• [6] H. O. Foulkes, Reduced determinantal forms for 𝑆-functions, Quart. J. Math., Oxford Ser. (2) 2 (1951), 67–73. MR 0041100, https://doi.org/10.1093/qmath/2.1.67
• [7] H. O. Foulkes, Differential operators associated with 𝑆-functions, J. London Math. Soc. 24 (1949), 136–143. MR 0030500, https://doi.org/10.1112/jlms/s1-24.2.136
• [8] D. E. Littlewood, Group characters and matrix representations of groups, Oxford, 1940.
• [9] H. O. Foulkes, Monomial symmetric functions, 𝑆-functions and group characters, Proc. London Math. Soc. (3) 2 (1952), 45–59. MR 0047048, https://doi.org/10.1112/plms/s3-2.1.45
• [10] Robert L. Davis, A special formula for the Lie character, Canad. J. Math. 10 (1958), 33–38. MR 0091956, https://doi.org/10.4153/CJM-1958-003-3

Bibliography

[1]

R. M. Thrall, On symmetrized Kronecker powers and the structure of the free Lie ring, Amer. J. Math. vol. 64 (1942) pp. 371-388. MR 0006149 (3:262d)

[2]

A. J. Brandt, The free Lie ring and Lie representations of the full linear group, Trans. Amer. Math. Soc. vol. 56 (1944) pp. 528-536. MR 0011305 (6:146d)

[3]

J. S. Frame, G. de B. Robinson, and R. M. Thrall, The hook graphs of the symmetric group, Canad. J. Math. vol. 6 (1954) pp. 316-324. MR 0062127 (15:931g)

[4]

F. D. Murnaghan, Theory of group representations, Baltimore, 1938.

[5]

H. O. Foulkes, A note on -functions, Quart. J. Math. Oxford Ser. (2) vol. 20 (1949) pp. 190-192. MR 0030501 (11:4i)

[6]

-, Reduced determinantal forms for -functions, Quart. J. Math. Oxford Ser. (2) vol. 2 (1951) pp. 67-73. MR 0041100 (12:794a)

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-, Differential operators associated with -functions, J. London Math. Soc. vol. 24 (1949) pp. 136-143. MR 0030500 (11:4h)

[8]

D. E. Littlewood, Group characters and matrix representations of groups, Oxford, 1940.

[9]

H. O. Foulkes, Monomial symmetric functions, -functions, and group characters, Proc. London Math. Soc. vol. 3 no. 2 (1952) pp. 45-59. MR 0047048 (13:820a)

[10]

R. L. Davis, A special formula for the Lie character, Canad. J. Math. vol. 10 (1958) pp. 33-38. MR 0091956 (19:1037h)