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Constructing representations of split semisimple Lie algebras

✍ Scribed by W.A. de Graaf

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
183 KB
Volume
164
Category
Article
ISSN
0022-4049

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✦ Synopsis

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 is ΓΏxed. At the end of the paper, practical experiences with an implementation of the algorithm in GAP4 are discussed.

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