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Proceedings of the American Mathematical Society

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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
MathSciNet review: 0169947
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References [Enhancements On Off] (What's this?)

  • [1] Élie Cartan, La géométrie des groupes simples, Ann. Mat. Pura Appl. 4 (1927), no. 1, 209–256 (French). MR 1553103, 10.1007/BF02409989
  • [2] Morikuni Gotô, A theorem on compact semi-simple groups, J. Math. Soc. Japan 1 (1949), 270–272. MR 0033829
  • [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 0114875

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DOI: https://doi.org/10.1090/S0002-9939-1962-0169947-4
Article copyright: © Copyright 1962 American Mathematical Society