Universal verma modules and W-resolvents over Kac-Moody algebras

Authors
Citation
Dp. Zhelobenko, Universal verma modules and W-resolvents over Kac-Moody algebras, THEOR MATH, 122(3), 2000, pp. 278-297
Citations number
23
Categorie Soggetti
Physics
Journal title
THEORETICAL AND MATHEMATICAL PHYSICS
ISSN journal
00405779 → ACNP
Volume
122
Issue
3
Year of publication
2000
Pages
278 - 297
Database
ISI
SICI code
0040-5779(200003)122:3<278:UVMAWO>2.0.ZU;2-Y
Abstract
We consider new aspects of external equations over symmetrizable Kac-Moody algebras. We develop nerw methode (reproducing classical finite-dimensional results) that can be applied to infinite-dimensional (affine) Lie algebras . We describe special extensions of universal enveloping algebras, investig ate the fine structure of W-resolvents, and use these methods to investigat e " extremal projectors " over Kac-Moody algebras.