Journal Home Page

Complete Contents
of this Volume

Previous Article

Next Article
Journal of Lie Theory 14 (2004), No. 1, 141--150
Copyright Heldermann Verlag 2004

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.

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.

[ Fulltext-pdf  (166  KB)] for subscribers only.