Geodesic
On a Relationship Between Adjoint Orbits and Conjugacy Classes of a Lie Group
Canadian mathematical bulletin, Tome 33 (1990) no. 3, pp. 297-304

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Let G be a Lie group with adjoint orbits θi and corresponding conjugacy classes C i = 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 θ 3 ⊂ θ 1 + θ 2 if and only if C 3 ⊂ C 1 C 2.
DOI : 10.4153/CMB-1990-048-4
Mots-clés : 22E15 
Wildberger, N. J. On a Relationship Between Adjoint Orbits and Conjugacy Classes of a Lie Group. Canadian mathematical bulletin, Tome 33 (1990) no. 3, pp. 297-304. doi: 10.4153/CMB-1990-048-4
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     title = {On a {Relationship} {Between} {Adjoint} {Orbits} and {Conjugacy} {Classes} of a {Lie} {Group}},
     journal = {Canadian mathematical bulletin},
     pages = {297--304},
     year = {1990},
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     doi = {10.4153/CMB-1990-048-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1990-048-4/}
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