Orbits in a real reductive Lie algebra

Rothschild, L. Preiss

doi:10.1090/S0002-9947-1972-0349778-3

Orbits in a real reductive Lie algebra
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Trans. Amer. Math. Soc. 168 (1972), 403-421 Request permission

Abstract:

The purpose of this paper is to give a classification of the orbits in a real reductive Lie algebra under the adjoint action of a corresponding connected Lie group. The classification is obtained by examining the intersection of the Lie algebra with the orbits in its complexification. An algebraic characterization of the minimal points in the closed orbits is also given.

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