학술저널
Complete Reducibility of some Modules for a Generalized Kac Moody Lie Algebra
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 5, No. 1
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1992.06195 - 201 (7 pages)
- 0
Let G(A) denote a generalized Kac Moody Lie algebra associated to a symmetrizable generalized Cartan matrix A. In this paper, we study on representations of G(A). Highest weight modules and the category O are described. In the main theorem we show that some G(A) modules from the category O are completely reducible. Also a criterion for irreducibility of highest weight modules is obtained. This was proved in [3] for the case of Kac Moody Lie algebras.
ABSTRACT
I. Introduction
II. Complete reducibility
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