Journal of Lie Theory EMIS ELibM Electronic Journals Journal of Lie Theory
Vol. 14, No. 1, pp. 141--150 (2004)

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An Equivalence between categories of modules for generalized Kac-Moody Lie algebras

Elizabeth Jurisich

Elizabeth Jurisich
Department of Mathematics
The College of Charleston
Charleston SC 29424

Abstract: An equivalence between categories of modules for a generalized Kac-Moody algebra and modules for an appropriate parabolic subalgebra is shown. In particular, properties such as the irreducibility and complete reducibility of a module whose weights satisfy certain conditions can be determined by restriction to a subalgebra.

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Electronic version published on: 29 Jan 2004. This page was last modified: 1 Sep 2004.

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