Lie groups isomorphic to direct products of unitary groups
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- by Ivan Vidav and Peter Legiša PDF
- Proc. Amer. Math. Soc. 56 (1976), 363-364 Request permission
Abstract:
A criterion is given for a compact connected subgroup of $\text {Gl} (n,{\mathbf {C}})$ to be isomorphic to a direct product of unitary groups. It implies that a compact connected subgroup of rank $n$ in $\text {Gl} (n,{\mathbf {C}})$ is isomorphic to a direct product of unitary groups.References
- J. Frank Adams, Lectures on Lie groups, W. A. Benjamin, Inc., New York-Amsterdam, 1969. MR 0252560 C. Chevalley, Theory of Lie groups. Vol. 1, Princeton Math. Ser., vol. 8, Princeton Univ. Press, Princeton, N.J., 1946. MR 7, 412.
- Ivan Vidav, The group of isometries and the structure of a finite-dimensional Banach space, Linear Algebra Appl. 14 (1976), no. 3, 227–236. MR 473865, DOI 10.1016/0024-3795(76)90069-0
Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 56 (1976), 363-364
- MSC: Primary 22E10
- DOI: https://doi.org/10.1090/S0002-9939-1976-0422495-6
- MathSciNet review: 0422495