This article is cited in 1 paper

Universal Verma modules and $W$-resolvents over Kač–Moody algebras

D. P. Zhelobenko

Peoples Friendship University of Russia

Abstract: We consider new aspects of extremal equations over symmetrizable Kač–Moody algebras. We develop new methods (reproducing classical finite-dimensional results) that can be applied to infinite-dimensional (affine) Lie algebras. We describe special extensions of universal enveloping algebras, investigate the fine structure of $W$-resolvents, and use these methods to investigate “extremal projectors” over Kač–Moody algebras.

Received: 10.06.1999

DOI: 10.4213/tmf571

 English version: Theoretical and Mathematical Physics, 2000, 122:3, 278–297

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