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Fixed points of
automorphisms of compact Lie groups
Robert F. Brown |
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Vol. 63 (1976), No. 1, 79–87
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Abstract |
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Hopf’s proof that the real Čech cohomology H∗(G) of a compact, connected Lie group G is an exterior algebra with odd-dimensional generators was followed by a demonstration that the number of such generators is equal to the rank of the group, that is, to the dimension of a maximal torus. We show that the latter result is a special case of a relationship between an automorphism of such a group and the automorphism it induces on the cohomology. |
Mathematical Subject Classification
Primary: 57E15, 57E15
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Milestones
Received: 30 April 1975
Published: 1 March 1976
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Authors |
| Robert F. Brown | |
| Department of Mathematics University of California, Los Angeles Los Angeles CA 90095-1555 United States |
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| http://www.math.ucla.edu/~rfb/ | |
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