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On a Relationship Between Adjoint Orbits and Conjugacy Classes of a Lie Group

Published online by Cambridge University Press:  20 November 2018

N. J. Wildberger
N. J. Wildberger*
Affiliation:
University of New South Wales Kensington, NSW 2033 Australia
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Abstract

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Let G be a Lie group with adjoint orbits θi and corresponding conjugacy classes Ci = exp θi, i = 1, 2, 3. We show that if G is nilpotent or compact, there is a neighbourhood U of 0 in g such that if θi ∊ U then θ3 ⊂ θ1 + θ2 if and only if C3 ⊂ C1C2.

Keywords

22E15
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 33 , Issue 3 , 01 September 1990 , pp. 297 - 304
Copyright
Copyright © Canadian Mathematical Society 1990

References

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