Lie Groups, Lie Algebras, and Representations An Elementary Introduction /

This textbook treats Lie groups, Lie algebras and their representations in an elementary but fully rigorous fashion requiring minimal prerequisites. In particular, the theory of matrix Lie groups and their Lie algebras is developed using only linear algebra, and more motivation and intuition for pro...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Hall, Brian (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edición:2nd ed. 2015.
Colección:Graduate Texts in Mathematics, 222
Temas:
Topological groups.
Lie groups.
Nonassociative rings.
Manifolds (Mathematics).
Topological Groups and Lie Groups.
Non-associative Rings and Algebras.
Manifolds and Cell Complexes.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Part I: General Theory.-Matrix Lie Groups
  • The Matrix Exponential
  • Lie Algebras
  • Basic Representation Theory
  • The Baker-Campbell-Hausdorff Formula and its Consequences
  • Part II: Semisimple Lie Algebras
  • The Representations of sl(3;C).-Semisimple Lie Algebras.- Root Systems
  • Representations of Semisimple Lie Algebras
  • Further Properties of the Representations
  • Part III: Compact lie Groups
  • Compact Lie Groups and Maximal Tori
  • The Compact Group Approach to Representation Theory
  • Fundamental Groups of Compact Lie Groups
  • Appendices.

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