Abstract
We consider new aspects of extremal equations over symmetrizable Kac-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 Kac-Moody algebras.
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