On chiral differential operators over homogeneous spaces. (English) Zbl 1028.22020
The authors give a classification and construction of chiral algebras of differential operators over semisimple algebraic groups \(G\) and over homogeneous spaces \(G/N\) and \(G/P\), where \(N\) is a nilpotent and \(P\) a parabolic subgroup.
Reviewer: M.Teicher (Ramat Gan)
MSC:
22E67 | Loop groups and related constructions, group-theoretic treatment |
14M05 | Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) |