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
Vassily Gorbounov1
, Fyodor Malikov2
and Vadim Schechtman3
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
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.