Introduction to Lie groups and Lie algebras /
With roots in the nineteenth century, Lie theory has since found many and varied applications in mathematics and mathematical physics, to the point where it is now regarded as a classical branch of mathematics in its own right. This graduate text focuses on the study of semisimple Lie algebras, deve...
Clasificación: | Libro Electrónico |
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Autor principal: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Cambridge :
Cambridge University Press,
2008.
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Colección: | Cambridge studies in advanced mathematics ;
113. |
Temas: | |
Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Introduction
- Lie groups: basic definitions
- Lie groups and Lie algebras
- Representation of Lie groups and Lie algebras
- Structure theory of Lie algebras
- Complex semisimple Lie algebras
- Root systems
- Representation of semisimple Lie algebras
- Overview of the literature
- Appendix A: Root systems and simple Lie algebras
- Appendix B: Sample syllabus
- List of notation.