Constructing representations of split se
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W.A. de Graaf
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Article
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2001
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Elsevier Science
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English
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We describe an algorithm for constructing irreducible representations of split semisimple Lie algebras in characteristic 0. The algorithm calculates a Gr obner basis of a certain left ideal in a universal enveloping algebra. It is shown that this algorithm runs in polynomial time if the Lie algebra