Lectures on Lie algebras

Joseph Bernstein

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

Lectures on Lie algebras

Joseph Bernstein^*

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

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.

Original language	English
Title of host publication	Representation Theory, Complex Analysis, and Integral Geometry
Publisher	Birkhauser Boston
Pages	97-132
Number of pages	36
Volume	9780817648176
ISBN (Electronic)	9780817648176
ISBN (Print)	081764816X, 9780817648169
DOIs	https://doi.org/10.1007/978-0-8176-4817-6_6
State	Published - 1 Nov 2013

Keywords

Harish-Chandra center
Kostant multiplicity formula
Lie algebra
Verma module
Weyl character formula

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

Cite this

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Lectures on Lie algebras

Abstract

Keywords

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