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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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| Lenguaje: | eng |
| Publicado: |
2005
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| Acceso en línea: | http://cds.cern.ch/record/904799 |
| Sumario: | 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. |
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