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: 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.
(14315 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.
(7460 views)
Book cover: Lectures on Representation Theory and Invariant TheoryLectures on Representation Theory and Invariant Theory
by - University of Leeds
These are lectures on the symmetric group, the general linear group and invariant theory. The course covered as much of the classical theory as time allowed. The text requires some knowledge of rings and modules, character theory, affine varieties.
(8467 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).
(3866 views)