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Journal of Lie Theory 15 (2005), No. 2, 415--428
Copyright Heldermann Verlag 2005

Constructing Homomorphisms between Verma Modules

Willem A. de Graaf
RICAM, Austrian Academy of Sciences, Altenbergerstrasse 69, 4040 Linz, Austria

We describe a practical method for constructing a nontrivial homomorphism between two Verma modules of an arbitrary semisimple Lie algebra. With some additions the method generalises to the affine case.

Keywords: Semisimple Lie algebras, Verma modules, algorithms.

MSC: 17B10; 17-04, 17-08

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