Title: Lie groups beyond an introduction /
Authors: Knapp, Anthony W.
Publisher: Birkhäuser,
Year: 2002
Subjects: Lie groups.; Lie algebras.; Representations of groups.; Representations of Lie groups.
Contents: Introduction: Closed Linear Groups -- I. Lie Algebras and Lie Groups -- II. Complex Semisimple Lie Algebras -- III. Universal Enveloping Algebra -- IV. Compact Lie Groups -- V. Finite-Dimensional Representations -- VI. Structure Theory of Semisimple Groups -- VII. Advanced Structure Theory -- VIII. Integration -- IX. Induced Representations and Branching Theorems -- X. Prehomogeneous Vector Spaces -- App. A. Tensors, Filtrations, and Gradings -- App. B. Lie's Third Theorem -- App. C. Data for Simple Lie Algebras.