Lectures on Lie Algebras

Joseph Bernstein ()
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Joseph Bernstein: Tel-Aviv University, Department of Mathematics

A chapter in Representation Theory, Complex Analysis, and Integral Geometry, 2012, pp 97-132 from Springer

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.

Keywords: Lie algebra; Verma module; Weyl character formula; Kostant multiplicity formula; Harish–Chandra center (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-8176-4817-6_6

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

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