Lectures on Lie Groups and Representations of Locally Compact Groups
by F. Bruhat
Publisher: Tata Institute of Fundamental Research 1958
ISBN/ASIN: B0007JJ4E2
Number of pages: 140
Description:
We shall consider some heterogeneous topics relating to Lie groups and the general theory of representations of locally compact groups. The first part exclusively deals with some elementary facts about Lie groups and the last two parts are entirely independent of the material contained in the first.
Download or read it online for free here:
Download link
(610KB, PDF)
Similar books
Lectures on Discrete Subgroups of Lie Groupsby G.D. Mostow - Tata Institute of Fundamental Research
Contents: Preliminaries; Complexification of a real Linear Lie Group; Intrinsic characterization of K* and E; R-regular elements; Discrete Subgroups; Some Ergodic Properties of Discrete Subgroups; Real Forms of Semi-simple Algebraic Groups; etc.
(5055 views)
Roots of a Compact Lie Groupby Kristopher Tapp - arXiv
This expository article introduces the topic of roots in a compact Lie group. Compared to the many other treatments of this standard topic, I intended for mine to be relatively elementary, example-driven, and free of unnecessary abstractions.
(3942 views)
Algebraic Groups, Lie Groups, and their Arithmetic Subgroupsby J. S. Milne
This work is a modern exposition of the theory of algebraic group schemes, Lie groups, and their arithmetic subgroups. Algebraic groups are groups defined by polynomials. Those in this book can all be realized as groups of matrices.
(8034 views)
Group Theory: Birdtracks, Lie's, and Exceptional Groupsby Predrag Cvitanovic - Princeton University Press
A book on the theory of Lie groups for researchers and graduate students in theoretical physics and mathematics. It answers what Lie groups preserve trilinear, quadrilinear, and higher order invariants. Written in a lively and personable style.
(10609 views)