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Polynomial Bases for Representations of Semisimple Lie Algebras

โœ Scribed by Devi, V. Syamala

Book ID
121234023
Publisher
American Institute of Physics
Year
1971
Tongue
English
Weight
498 KB
Volume
12
Category
Article
ISSN
0022-2488

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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