Lectures on Lie Algebras
Identifieur interne : 002050 ( Istex/Curation ); précédent : 002049; suivant : 002051Lectures on Lie Algebras
Auteurs : Joseph Bernstein [Israël]Source :
Abstract
Abstract: This is a lecture course for beginners on representation theory of semisimple finite dimensional Lie algebras. It is shown how to use infinite dimensional representations (Verma modules) to derive the Weyl character formula. We also provide a proof for Harish–Chandra’s theorem on the center of the universal enveloping algebra and for Kostant’s multiplicity formula.
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DOI: 10.1007/978-0-8176-4817-6_6
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<front><div type="abstract" xml:lang="en">Abstract: This is a lecture course for beginners on representation theory of semisimple finite dimensional Lie algebras. It is shown how to use infinite dimensional representations (Verma modules) to derive the Weyl character formula. We also provide a proof for Harish–Chandra’s theorem on the center of the universal enveloping algebra and for Kostant’s multiplicity formula.</div>
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