Geodesic
Characterization of the Kantor-Koecher-Tits Algebra by a Generalized Ahlfors Operator
Journal of Lie Theory, Tome 11 (2001) no. 2, pp. 415-426

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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 "Kantor-Koecher-Tits algebra") is precisely the space of solutions of the differential equation SX = 0.
Classification : 53C35, 17C36 
W. Bertram; J. Hilgert. Characterization of the Kantor-Koecher-Tits Algebra by a Generalized Ahlfors Operator. Journal of Lie Theory, Tome 11 (2001) no. 2, pp. 415-426. http://geodesic.mathdoc.fr/item/JOLT_2001_11_2_a6/
@article{JOLT_2001_11_2_a6,
     author = {W. Bertram and J. Hilgert},
     title = {Characterization of the {Kantor-Koecher-Tits} {Algebra} by a {Generalized} {Ahlfors} {Operator}},
     journal = {Journal of Lie Theory},
     pages = {415--426},
     year = {2001},
     volume = {11},
     number = {2},
     zbl = {1049.53037},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2001_11_2_a6/}
}
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