Logo

Lectures on Representations of Complex Semi-Simple Lie Groups

Small book cover: Lectures on Representations of Complex Semi-Simple Lie Groups

Lectures on Representations of Complex Semi-Simple Lie Groups
by

Publisher: Tata Institute of Fundamental Research
ISBN/ASIN: 0387108297
ISBN-13: 9780387108292
Number of pages: 94

Description:
The purpose of the lectures was to describe a factorial correspondence between the theory of admissible representations for a complex semisimple Lie group and the theory of highest weight modules for a semisimple Lie algebra. A detailed description of the main results of this correspondence is given in section one.

Download or read it online for free here:
Download link
(470KB, PDF)

Similar books

Book cover: Lectures on Some Aspects of p-Adic AnalysisLectures on Some Aspects of p-Adic Analysis
by - Tata Institute of Fundamental Research
The text covers the classical theory of valuated fields, results about representations of classical groups over a locally compact valuated field, and Dwork's proof of the rationality of the zeta function of an algebraic variety over a finite field.
(8444 views)
Book cover: An Elementary Introduction to Groups and RepresentationsAn Elementary Introduction to Groups and Representations
by - arXiv
An elementary introduction to Lie groups, Lie algebras, and their representations. Topics include definitions and examples of Lie groups and Lie algebras, the basics of representations theory, the Baker-Campbell-Hausdorff formula, and more.
(19133 views)
Book cover: Introduction to Representations of Real Semisimple Lie GroupsIntroduction to Representations of Real Semisimple Lie Groups
by - arXiv
These are lecture notes for a one semester introductory course I gave at Indiana University. The goal was to make this exposition as clear and elementary as possible. A particular emphasis is given on examples involving SU(1,1).
(7282 views)
Book cover: Representation Theory of Compact GroupsRepresentation Theory of Compact Groups
by - Aalto TKK
Contents: Groups (Groups without topology, Group actions and representations); Topological groups (Compact groups, Haar measure, Fourier transforms on compact groups..); Linear Lie groups (Exponential map, Lie groups and Lie algebras); Hopf algebras.
(11159 views)