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Journal of Lie Theory 11 (2001), No. 2, 381--413
Copyright Heldermann Verlag 2001

The Closure Diagrams for Nilpotent Orbits of Real Forms of E6

Dragomir Z. Dokovic
Dept. of Pure Mathematics, University of Waterloo, Waterloo, Ont. N2L 3G1, Canada

Let O1 and O2 be adjoint nilpotent orbits in a real semisimple Lie algebra. Write O1 ≥ O2 if O2 is contained in the closure of O1. This gives a partial order on the set of such orbits, which is known as the closure ordering. We determine this ordering for the adjoint nilpotent orbits of the four noncompact real forms of the simple complex Lie algebra E6.

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