International Journal of Mathematics and Mathematical Sciences
Volume 26 (2001), Issue 2, Pages 83-106
doi:10.1155/S0161171201020051
On chiral differential operators over homogeneous spaces
1Department of Mathematics, University of Kentucky, Lexington 40506, KY, USA
2Department of Mathematics, University of Southern California, Los Angeles 90089, CA, USA
3Laboratoire Emile Picard, UFR MIG, Université Paul Sabatier, 118 Route de Narbonne, Toulouse Cedex 4 31062, France
Received 27 August 2000; Revised 15 February 2001
Copyright © 2001 Vassily Gorbounov et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We 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.