Author: François BruhatPublisher:
ISBN:
Category : Lie groups
Languages : en
Pages : 302
Book Description
Lectures on Lie Groups and Representations of Locally Compact Groups
Author: François BruhatPublisher:
ISBN:
Category : Lie groups
Languages : en
Pages : 302
Book Description
Lecture on Lie Groups and Representations of Locally Compact Groups
Author: Publisher:
ISBN:
Category :
Languages : en
Pages : 135
Book Description
Lectures on Lie Groups and Representations of Locally Compact Groups
Author: Nicolas BourbakiPublisher:
ISBN:
Category :
Languages : en
Pages : 0
Book Description
Lectures on Lie Groups and Representations of Locally Compact Groups
Author: François BruhatPublisher:
ISBN:
Category : Lie groups
Languages : en
Pages : 270
Book Description
Lie Algebras and Locally Compact Groups
Author: Irving KaplanskyPublisher: University of Chicago Press
ISBN: 0226424537
Category : Mathematics
Languages : en
Pages : 161
Book Description
This volume presents lecture notes based on the author's courses on Lie algebras and the solution of Hilbert's fifth problem. In chapter 1, "Lie Algebras," the structure theory of semi-simple Lie algebras in characteristic zero is presented, following the ideas of Killing and Cartan. Chapter 2, "The Structure of Locally Compact Groups," deals with the solution of Hilbert's fifth problem given by Gleason, Montgomery, and Zipplin in 1952.
Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles
Author: J. M.G. FellPublisher: Academic Press
ISBN: 0080874452
Category : Mathematics
Languages : en
Pages : 755
Book Description
This is an all-encompassing and exhaustive exposition of the theory of infinite-dimensional Unitary Representations of Locally Compact Groups and its generalization to representations of Banach algebras. The presentation is detailed, accessible, and self-contained (except for some elementary knowledge in algebra, topology, and abstract measure theory). In the later chapters the reader is brought to the frontiers of present-day knowledge in the area of Mackey normal subgroup analysisand its generalization to the context of Banach *-Algebraic Bundles.
Lectures on Lie Groups
Author: J. F. AdamsPublisher: University of Chicago Press
ISBN: 0226005305
Category : Mathematics
Languages : en
Pages : 192
Book Description
"[Lectures in Lie Groups] fulfills its aim admirably and should be a useful reference for any mathematician who would like to learn the basic results for compact Lie groups. . . . The book is a well written basic text [and Adams] has done a service to the mathematical community."—Irving Kaplansky
Introduction to the Representation Theory of Compact and Locally Compact Groups
Author: Alain RobertPublisher: Cambridge University Press
ISBN: 0521289750
Category : Mathematics
Languages : en
Pages : 217
Book Description
Because of their significance in physics and chemistry, representation of Lie groups has been an area of intensive study by physicists and chemists, as well as mathematicians. This introduction is designed for graduate students who have some knowledge of finite groups and general topology, but is otherwise self-contained. The author gives direct and concise proofs of all results yet avoids the heavy machinery of functional analysis. Moreover, representative examples are treated in some detail.
Representations of Compact Lie Groups
Author: T. BröckerPublisher: Springer Science & Business Media
ISBN: 3662129183
Category : Mathematics
Languages : en
Pages : 323
Book Description
This introduction to the representation theory of compact Lie groups follows Herman Weyl’s original approach. It discusses all aspects of finite-dimensional Lie theory, consistently emphasizing the groups themselves. Thus, the presentation is more geometric and analytic than algebraic. It is a useful reference and a source of explicit computations. Each section contains a range of exercises, and 24 figures help illustrate geometric concepts.
Characters of Connected Lie Groups
Author: L. PukanszkyPublisher: American Mathematical Soc.
ISBN: 082181088X
Category : Mathematics
Languages : en
Pages : 149
Book Description
This book adds to the great body of research that extends back to A. Weil and E. P. Wigner on the unitary representations of locally compact groups and their characters, i.e. the interplay between classical group theory and modern analysis. The groups studied here are the connected Lie groups of general type (not necessarily nilpotent or semisimple). Final results reflect Kirillov's orbit method; in the case of groups that may be non-algebraic or non-type I, the method requires considerable sophistication. Methods used range from deep functional analysis (the theory of $C*$-algebras, factors from F. J. Murray and J. von Neumann, and measure theory) to differential geometry (Lie groups and Hamiltonian actions). This book presents for the first time a systematic and concise compilation of proofs previously dispersed throughout the literature. The result is an impressive example of the deepness of Pukanszky's work.
