TY - BOOK AU - Knapp, Anthony W. TI - Lie groups beyond an introduction SN - 9780817642594 U1 - 512.482 PY - 2005/// CY - Boston PB - Birkhauser KW - Lie algebras KW - Representations of Lie groups KW - Topological groups KW - Group theory KW - Algebra KW - Mathematics N1 - 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 ER -