Lie groups beyond an introduction/
Anthony W. Knapp
- Boston: Birkhauser, 2005.
- xviii, 812 p. : ill. ; 24 cm.
- (Progress in mathematics), v. 140 .
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.
9780817642594
Lie algebras Representations of Lie groups Topological groups Group theory Algebra Mathematics