Lectures on Representation Theory - Hardcover

Huang, Jing-song

Hardcover

ISBN 10: 9810237243 ISBN 13: 9789810237240

Publisher: World Scientific Publishing Co Pte Ltd, 1999

Synopsis

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.

About this edition

• Publisher: World Scientific Publishing Co Pte Ltd
• Publication date: 1999
• ISBN 10: 9810237243
• ISBN 13: 9789810237240
• Binding: Hardcover
• Number of pages: 200