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One construction of irreducible representations of semisimple Lie algebras

โœ Scribed by V. M. Futornyi


Publisher
Springer US
Year
1987
Tongue
English
Weight
137 KB
Volume
21
Category
Article
ISSN
0016-2663

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Constructing representations of split se
โœ W.A. de Graaf ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 183 KB

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