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Universal enveloping algebras and some applications in physics

These notes are intended to provide a self-contained and pedagogical introduction to the universal enveloping algebras and some of their uses in mathematical physics. After reviewing their abstract definitions and properties, the focus is put on their relevance in Weyl calculus, in representation th...

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Autor principal: Bekaert, X
Lenguaje:eng
Publicado: 2005
Materias:
Acceso en línea:http://cds.cern.ch/record/904799
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author Bekaert, X
author_facet Bekaert, X
author_sort Bekaert, X
collection CERN
description These notes are intended to provide a self-contained and pedagogical introduction to the universal enveloping algebras and some of their uses in mathematical physics. After reviewing their abstract definitions and properties, the focus is put on their relevance in Weyl calculus, in representation theory and their appearance as higher symmetries of physical systems.
id cern-904799
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2005
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spelling cern-9047992019-09-30T06:29:59Zhttp://cds.cern.ch/record/904799engBekaert, XUniversal enveloping algebras and some applications in physicsGeneral Theoretical PhysicsThese notes are intended to provide a self-contained and pedagogical introduction to the universal enveloping algebras and some of their uses in mathematical physics. After reviewing their abstract definitions and properties, the focus is put on their relevance in Weyl calculus, in representation theory and their appearance as higher symmetries of physical systems.IHES-P-2005-26oai:cds.cern.ch:9047992005
spellingShingle General Theoretical Physics
Bekaert, X
Universal enveloping algebras and some applications in physics
title Universal enveloping algebras and some applications in physics
title_full Universal enveloping algebras and some applications in physics
title_fullStr Universal enveloping algebras and some applications in physics
title_full_unstemmed Universal enveloping algebras and some applications in physics
title_short Universal enveloping algebras and some applications in physics
title_sort universal enveloping algebras and some applications in physics
topic General Theoretical Physics
url http://cds.cern.ch/record/904799
work_keys_str_mv AT bekaertx universalenvelopingalgebrasandsomeapplicationsinphysics