Lectures on Representations of Complex Semi-Simple Lie Groups
by Thomas J. Enright
Publisher: Tata Institute of Fundamental Research 1981
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
Introduction to Representations of Real Semisimple Lie Groupsby Matvei Libine - 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).
(7604 views)
Lectures on Some Aspects of p-Adic Analysisby F. Bruhat - 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.
(8735 views)
An Elementary Introduction to Groups and Representationsby Brian C. Hall - 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.
(19558 views)
Lectures on Representation Theory and Invariant Theoryby William Crawley-Boevey - 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.
(12362 views)