Reducible polar representations |
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Authors: | Isabel Bergmann |
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Institution: | Institut für Mathematik, Universit?t Augsburg, 86153 Augsburg, Germany. e-mail: isabel.bergmann@math.uni-augsburg.de, DE
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Abstract: | In this paper the reducible polar representations of the compact connected Lie groups are classified. It turns out that there
only exist “interesting” reducible polar representations of Lie groups of the types A
3, A
3×T
1, B
3, B
3×T
1, D
4, D
4×T
1 and D
4×A
1. Up to equivalence, there is just one such representation of the first four Lie groups, there are three reducible polar representations
of D
4 and six of D
4×T
1 and D
4×A
1, respectively. From this follows immediately the classification of the compact connected subgroups of SO(n) which act transitively on products of spheres.
Received: 28 April 2000 |
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Keywords: | Mathematics Subject Classification (2000): 22E46 53C35 |
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