Analysis on Lie groups : an introduction /
The subject of analysis on Lie groups comprises an eclectic group of topics which can be treated from many different perspectives. This self-contained text concentrates on the perspective of analysis, to the topics and methods of non-commutative harmonic analysis, assuming only elementary knowledge...
Clasificación: | Libro Electrónico |
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Autor principal: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Cambridge, UK ; New York :
Cambridge University Press,
2008.
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Colección: | Cambridge studies in advanced mathematics ;
110. |
Temas: | |
Acceso en línea: | Texto completo |
Tabla de Contenidos:
- The linear group
- The exponential map
- Linear Lie groups
- Lie algebras
- Haar measure
- Representations of compact groups
- The groups SU(2) and SO(3), Haar measure
- Analysis on the group SU(2)
- Analysis on the sphere and the Euclidean space
- Analysis on the spaces of symmetric and Hermitian matrices
- Irreducible representations of the unitary group
- Analysis on the unitary group.