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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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Kirillov, Alexander A., 1967-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge : Cambridge University Press, 2008.
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.