Commutators in a semi-simple Lie group
Authors:
Samuel Pasiencier and Hsien-chung Wang
Journal:
Proc. Amer. Math. Soc. 13 (1962), 907-913
MSC:
Primary 22.50
DOI:
https://doi.org/10.1090/S0002-9939-1962-0169947-4
MathSciNet review:
0169947
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References | Similar Articles | Additional Information
- [1] Élie Cartan, La géométrie des groupes simples, Ann. Mat. Pura Appl. 4 (1927), no. 1, 209–256 (French). MR 1553103, https://doi.org/10.1007/BF02409989
- [2] Morikuni Gotô, A theorem on compact semi-simple groups, J. Math. Soc. Japan 1 (1949), 270–272. MR 33829, https://doi.org/10.2969/jmsj/00130270
- [3] K. Shoda, Einige Satze über Matrizen, Japan J. Math. 13 (1937, 361-365).
- [4] R. C. Thompson, Commutators of matrices. III, Abstracts 565--16, Notices Amer. Math. Soc. 7 (1960), 194.
- [5] Bertram Kostant, The principal three-dimensional subgroup and the Betti numbers of a complex simple Lie group, Amer. J. Math. 81 (1959), 973–1032. MR 114875, https://doi.org/10.2307/2372999
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1962-0169947-4
Article copyright:
© Copyright 1962
American Mathematical Society