An introduction to Lie groups and Lie algebras

An 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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Détails bibliographiques
Auteur principal : Kirillov Aleksandr A. (Auteur)
Format : Livre
Langue : anglais
Titre complet : An introduction to Lie groups and Lie algebras / Alexander Kirillov, Jr.
Publié : Cambridge [etc.] : Cambridge University Press , 2008
Description matérielle : 1 vol. (XI-222 p.)
Collection : Cambridge studies in advanced mathematics ; 113
Sujets :
Groupes de Lie
Lie, Algèbres de
  • Preface.
  • 1. Introduction.
  • 2. Lie groups: basic definitions.
  • 3. Lie groups and Lie algebras.
  • 4. Representations of Lie groups and Lie algebras.
  • 5. Structure theory of Lie algebras.
  • 6. Complex semisimple Lie algebras.
  • 7. Root systems.
  • 8. Representations of semisimple Lie Algebras; Overview of the literature.
  • A. Root systems and simple Lie algebras.
  • B. Sample syllabus.
  • List of notation.
  • Index.
  • Bibliography.