Geodesic
Universal Verma modules and $W$-resolvents over Ka\v c--Moody algebras
Teoretičeskaâ i matematičeskaâ fizika, Tome 122 (2000) no. 3, pp. 334-356

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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. 
@article{TMF_2000_122_3_a2,
     author = {D. P. Zhelobenko},
     title = {Universal {Verma} modules and $W$-resolvents over {Ka\v} {c--Moody} algebras},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {334--356},
     publisher = {mathdoc},
     volume = {122},
     number = {3},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2000_122_3_a2/}
}
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D. P. Zhelobenko. Universal Verma modules and $W$-resolvents over Ka\v c--Moody algebras. Teoretičeskaâ i matematičeskaâ fizika, Tome 122 (2000) no. 3, pp. 334-356. http://geodesic.mathdoc.fr/item/TMF_2000_122_3_a2/