
Journal of Lie Theory 11 (2001), No. 2, 415426 Copyright Heldermann Verlag 2001 Characterization of the KantorKoecherTits Algebra by a Generalized Ahlfors Operator Wolfgang Bertram Institut Elie Cartan, Université Nancy I, 54506 Vandoevre lès Nancy, France Joachim Hilgert Institute of Mathematics, Technical University, Erzstr. 1, 38678 ClausthalZellerfeld, Germany In the context of certain generalized conformal structures we define a first order differential operator S generalizing the classical Ahlfors operator. We prove its invariance under the corresponding conformal group and show that, under certain conditions, the Lie algebra of this group (which is also known as the "KantorKoecherTits algebra") is precisely the space of solutions of the differential equation SX = 0. [ Fulltextpdf (187 KB)] 