×

The analysis of the characters of the Lie representations of the general linear group. (English) Zbl 0093.03303


Keywords:

group theory
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] R. M. Thrall, On symmetrized Kronecker powers and the structure of the free Lie ring, Amer. J. Math. 64 (1942), 371 – 388. · Zbl 0061.04201 · doi: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. · Zbl 0063.00597
[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. · Zbl 0055.25404
[4] F. D. Murnaghan, Theory of group representations, Baltimore, 1938. · Zbl 0022.11807
[5] H. O. Foulkes, A note on \? functions, Quart. J. Math., Oxford Ser. 20 (1949), 190 – 192. · Zbl 0033.15001
[6] H. O. Foulkes, Reduced determinantal forms for \?-functions, Quart. J. Math., Oxford Ser. (2) 2 (1951), 67 – 73. · Zbl 0045.15501 · doi:10.1093/qmath/2.1.67
[7] H. O. Foulkes, Differential operators associated with \?-functions, J. London Math. Soc. 24 (1949), 136 – 143. · Zbl 0037.00902 · doi:10.1112/jlms/s1-24.2.136
[8] D. E. Littlewood, Group characters and matrix representations of groups, Oxford, 1940. · JFM 66.0093.02
[9] H. O. Foulkes, Monomial symmetric functions, \?-functions and group characters, Proc. London Math. Soc. (3) 2 (1952), 45 – 59. · Zbl 0046.24403 · doi: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. · Zbl 0080.26002 · doi:10.4153/CJM-1958-003-3
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.