Knapp, Anthony W.

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

512.482 / KNA/L