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On involutive Lie algebras having a Cartan decomposition
Published online by Cambridge University Press: 17 April 2009
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We introduce the concept of Cartan decomposition relative to a Cartan subalgebra H in the sense of Y. Billig and A. Pianzola for involutive complex Lie algebras L of arbitrary dimension. If L has such a decomposition and is infinite dimensional and simple, we show it is *-isomorphic to a direct limit of classical finite dimensional simple involutive Lie algebras of the same type A, B, C, or D.
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- Copyright © Australian Mathematical Society 2004
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