Description
An Introduction to Lie Groups and Lie Algebras
Cambridge Studies in Advanced Mathematics Series
Author: Kirillov, Jr Alexander
This book is an introduction to semisimple Lie algebras. It is concise and informal, with numerous exercises and examples.
Language: EnglishSubject for An Introduction to Lie Groups and Lie Algebras:
Approximative price 40.64 €
In Print (Delivery period: 14 days).
Add to cart the print on demand of Kirillov, Jr Alexander
An Introduction to Lie Groups and Lie Algebras
Publication date: 04-2017
Support: Print on demand
Publication date: 04-2017
Support: Print on demand
Approximative price 93.24 €
Subject to availability at the publisher.
Add to cart the book of Kirillov, Jr Alexander
An introduction to Lie groups & Lie algebras (Studies in advanced mathematics, N° 113)
Publication date: 07-2008
236 p. · 15.5x23.4 cm · Hardback
Publication date: 07-2008
236 p. · 15.5x23.4 cm · Hardback
Description
/li>Contents
/li>Biography
/li>
With roots in the nineteenth century, Lie theory has since found many and varied applications in mathematics and mathematical physics, to the point where it is now regarded as a classical branch of mathematics in its own right. This graduate text focuses on the study of semisimple Lie algebras, developing the necessary theory along the way. The material covered ranges from basic definitions of Lie groups to the classification of finite-dimensional representations of semisimple Lie algebras. Written in an informal style, this is a contemporary introduction to the subject which emphasizes the main concepts of the proofs and outlines the necessary technical details, allowing the material to be conveyed concisely. Based on a lecture course given by the author at the State University of New York, Stony Brook, the book includes numerous exercises and worked examples, and is ideal for graduate courses on Lie groups and Lie algebras.
Preface; 1. Introduction; 2. Lie groups: basic definitions; 3. Lie groups and Lie algebras; 4. Representations of Lie groups and Lie algebras; 5. Structure theory of Lie algebras; 6. Complex semisimple Lie algebras; 7. Root systems; 8. Representations of semisimple Lie Algebras; Overview of the literature; A. Root systems and simple Lie algebras; B. Sample syllabus; List of notation; Index; Bibliography.
Alexander Kirillov, Jr, is an Associate Professor in the Mathematics Department, State University of New York, Stony Brook. His research interests are representation theory, Lie algebras, quantum groups, affine Lie algebras and conformal field theory.
© 2024 LAVOISIER S.A.S.