The exponential image of simple complex lie groups of exceptional type |
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Authors: | Dragomir Ž Ðoković |
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Institution: | (1) Department of Pure Mathematics, University of Waterloo, N2L 3G1 Waterloo, Ontario, Canada |
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Abstract: | Let G be a connected reductive complex Lie group. Let E
G
be the image of the exponential map of G and E'
G
its complement in G. We give a purely algebraic characterization of the set E
G
and also describe an algorithm for finding all conjugacy classes of G in E'
G
. We are mainly interested in the case when the Lie algebra of G is simple and exceptional. Full details are provided for groups G of type G
2, F
4, and E
6. If G is of type G
2 then there are only two such conjugacy classes.This work was supported by NSERC Grant A-5285. |
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Keywords: | |
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