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Lectures on Lie Algebras

Identifieur interne : 000172 ( Main/Exploration ); précédent : 000171; suivant : 000173

Lectures on Lie Algebras

Auteurs : Joseph Bernstein [Israël]

Source :

RBID : ISTEX:9EE251B78CD16DD2DAD8A63F7EBF2669D0695470

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.

Url:
DOI: 10.1007/978-0-8176-4817-6_6


Affiliations:


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