Serveur d'exploration Bourbaki

Attention, ce site est en cours de développement !
Attention, site généré par des moyens informatiques à partir de corpus bruts.
Les informations ne sont donc pas validées.

Lectures on Lie Algebras

Identifieur interne : 002050 ( Istex/Curation ); précédent : 002049; suivant : 002051

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

Links toward previous steps (curation, corpus...)


Links to Exploration step

ISTEX:9EE251B78CD16DD2DAD8A63F7EBF2669D0695470

Le document en format XML

<record>
<TEI wicri:istexFullTextTei="biblStruct">
<teiHeader>
<fileDesc>
<titleStmt>
<title xml:lang="en">Lectures on Lie Algebras</title>
<author>
<name sortKey="Bernstein, Joseph" sort="Bernstein, Joseph" uniqKey="Bernstein J" first="Joseph" last="Bernstein">Joseph Bernstein</name>
<affiliation wicri:level="1">
<mods:affiliation>Department of Mathematics, Tel-Aviv University, Tel-Aviv, Israel</mods:affiliation>
<country xml:lang="fr">Israël</country>
<wicri:regionArea>Department of Mathematics, Tel-Aviv University, Tel-Aviv</wicri:regionArea>
</affiliation>
<affiliation wicri:level="1">
<mods:affiliation>E-mail: bernstei@math.tau.ac.il</mods:affiliation>
<country wicri:rule="url">Israël</country>
</affiliation>
</author>
</titleStmt>
<publicationStmt>
<idno type="wicri:source">ISTEX</idno>
<idno type="RBID">ISTEX:9EE251B78CD16DD2DAD8A63F7EBF2669D0695470</idno>
<date when="2012" year="2012">2012</date>
<idno type="doi">10.1007/978-0-8176-4817-6_6</idno>
<idno type="url">https://api.istex.fr/document/9EE251B78CD16DD2DAD8A63F7EBF2669D0695470/fulltext/pdf</idno>
<idno type="wicri:Area/Istex/Corpus">002050</idno>
<idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">002050</idno>
<idno type="wicri:Area/Istex/Curation">002050</idno>
</publicationStmt>
<sourceDesc>
<biblStruct>
<analytic>
<title level="a" type="main" xml:lang="en">Lectures on Lie Algebras</title>
<author>
<name sortKey="Bernstein, Joseph" sort="Bernstein, Joseph" uniqKey="Bernstein J" first="Joseph" last="Bernstein">Joseph Bernstein</name>
<affiliation wicri:level="1">
<mods:affiliation>Department of Mathematics, Tel-Aviv University, Tel-Aviv, Israel</mods:affiliation>
<country xml:lang="fr">Israël</country>
<wicri:regionArea>Department of Mathematics, Tel-Aviv University, Tel-Aviv</wicri:regionArea>
</affiliation>
<affiliation wicri:level="1">
<mods:affiliation>E-mail: bernstei@math.tau.ac.il</mods:affiliation>
<country wicri:rule="url">Israël</country>
</affiliation>
</author>
</analytic>
<monogr></monogr>
</biblStruct>
</sourceDesc>
</fileDesc>
<profileDesc>
<textClass></textClass>
<langUsage>
<language ident="en">en</language>
</langUsage>
</profileDesc>
</teiHeader>
<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>
</front>
</TEI>
</record>

Pour manipuler ce document sous Unix (Dilib)

EXPLOR_STEP=$WICRI_ROOT/Wicri/Mathematiques/explor/BourbakiV1/Data/Istex/Curation
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 002050 | SxmlIndent | more

Ou

HfdSelect -h $EXPLOR_AREA/Data/Istex/Curation/biblio.hfd -nk 002050 | SxmlIndent | more

Pour mettre un lien sur cette page dans le réseau Wicri

{{Explor lien
   |wiki=    Wicri/Mathematiques
   |area=    BourbakiV1
   |flux=    Istex
   |étape=   Curation
   |type=    RBID
   |clé=     ISTEX:9EE251B78CD16DD2DAD8A63F7EBF2669D0695470
   |texte=   Lectures on Lie Algebras
}}

Wicri

This area was generated with Dilib version V0.6.33.
Data generation: Thu Jul 5 10:00:31 2018. Site generation: Sat Nov 19 17:42:07 2022