Lectures on Representation Theory (Paperback) (ISBN-13: 9789810237257)

This book is an expanded version of the lectures given at the Nankai Mathematical Summer School in 1997. It provides an introduction to Lie groups, Lie algebras and their representations as well as introduces some directions of current research for graduate students who have little specialized knowledge in representation theory. It only assumes that the reader has a good knowledge of linear algebra and some basic knowledge of abstract algebra.Parts I-III of the book cover the relatively elementary material of representation theory of finite groups, simple Lie algebras and compact Lie groups. These theories are natural continuation of linear algebra. The last chapter of Part III includes some recent results on extension of Weyl's construction to exceptional groups. Part IV covers some advanced material on infinite-dimensional representations of non-compact groups such as the orbit method, minimal representations and dual pair correspondences, which introduces some directions of the current research in representation theory.

Author: Jing-Song Huang
ISBN-10: 9810237251
ISBN-13: 9789810237257
Publisher: World Scientific Publishing Company
Language: English
Published: 11/05/1999
Pages: 200
Format: Paperback
Weight: 0.62lbs
Size: 8.62h x 5.94w x 0.45d