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Journal of Lie Theory 12 (2002), No. 1, 205--216
Copyright Heldermann Verlag 2002

The Approximative Centre of a Lie Algebra

Grant Cairns
Dept. of Mathematics, La Trobe University, Melbourne, 3083, Australia

This paper examines the approximative centre of a Lie algebra; this is the set of elements which are not sent uniformly to infinity by the adjoint action of the underlying Lie group.

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