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Journal of Lie Theory 14 (2004), No. 1, 141--150
Copyright Heldermann Verlag 2004
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An Equivalence between Categories of Modules for Generalized Kac-Moody Lie Algebras
Elizabeth Jurisich
Dept. of Mathematics, The College of Charleston, Charleston, SC 29424, U.S.A.
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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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