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Extremal Properties of Bases for Representations of Semisimple Lie Algebras

โœ Scribed by Robert G. Donnelly

Book ID
111547936
Publisher
Springer
Year
2003
Tongue
English
Weight
218 KB
Volume
17
Category
Article
ISSN
0925-9899

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These notes are a record of a course given in Algiers from 10th to 21st May, 1965. Their contents are as follows. The first two chapters are a summary, without proofs, of the general properties of nilpotent, solvable, and semisimple Lie algebras. These are well-known results, for which the reader ca

Constructing representations of split se
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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