Sign-In
Cart
Lectures on Lie Groups (2nd Ed)
Hardcover
Series: University Mathematics, Book 9
ISBN13: 9789814740708
Publisher: World Scientific Publishing Company
Published: Jun 1 2017
Pages: 160
Weight: 0.90
Height: 0.60 Width: 6.20 Depth: 9.00
Language: English
This volume consists of nine lectures on selected topics of Lie group theory. We provide the readers a concise introduction as well as a comprehensive tour of revisiting the remarkable achievements of S Lie, W Killing, É Cartan and H Weyl on structural and classification theory of semi-simple Lie groups, Lie algebras and their representations; and also the wonderful duet of Cartan's theory on Lie groups and symmetric spaces.
With the benefit of retrospective hindsight, mainly inspired by the outstanding contribution of H Weyl in the special case of compact connected Lie groups, we develop the above theory via a route quite different from the original methods engaged by most other books.
We begin our revisiting with the compact theory which is much simpler than that of the general semi-simple Lie theory; mainly due to the well fittings between the Frobenius-Schur character theory and the maximal tori theorem of É Cartan together with Weyl's reduction (cf. Lectures 1-4). It is a wonderful reality of the Lie theory that the clear-cut orbital geometry of the adjoint action of compact Lie groups on themselves (i.e. the geometry of conjugacy classes) is not only the key to understand the compact theory, but it actually already constitutes the central core of the entire semi-simple theory, as well as that of the symmetric spaces (cf. Lectures 5-9). This is the main reason that makes the succeeding generalizations to the semi-simple Lie theory, and then further to the Cartan theory on Lie groups and symmetric spaces, conceptually quite natural, and technically rather straightforward.
1 different editions
Also available
Also from
Hsiang Wu-Yi
Also in
Algebra
Regents Exams and Answers: Algebra II, Fifth Edition (Barron's New York Regents)
Rubinstein, Gary Michael
Paperback
Regents Exams and Answers: Algebra I, Fifth Edition, (Barron's New York Regents)
Rubinstein, Gary M.
Paperback
Let's Review Regents: Algebra I, Fifth Edition (Barron's New York Regents)
Rubinstein, Gary M.
Paperback
Pre Algebra Doodle Notes: a complete course of brain-based interactive guided visual notes for Middle School Math Concepts
Danziger, Brigid
Giraffe, Math
Paperback
Let's Review Regents: Algebra II, Fifth Edition (Barron's New York Regents)
Rubenstein, Gary M., M. S.
Paperback
Mechanical Engineering for Makers: A Hands-On Guide to Designing and Making Physical Things
Bunnell, Brian
Najia, Samer
Paperback
6th and 7th Grade Math Workbook: Math Practice Book for Grade 6 and 7 [New Edition Includes 900] Practice Questions]
Apex Test Prep
Paperback
Summit Math Algebra 1 Book 5: Factoring Polynomials and Solving Quadratic Equations
Joujan, Alex
Paperback
Mathematical Foundations of Quantum Computing: A Scaffolding Approach
Cheng, Ran
Lee, Peter
Yu, James
Hardcover
Basic Math & Pre-Algebra: 1001 Practice Problems for Dummies (+ Free Online Practice)
Zegarelli, Mark
Paperback
Basic Math Refresher for Adults - A Math Workbook with Practice Problems and Online Video Tutorials: [2nd Edition]
Bowling, Matthew
Paperback
HSPT Full Prep Book for Catholic High Schools: Be ready and fearless! Detailed answer explanations
Johnson, Henry N.
Paperback
Math for Programmers: 3D Graphics, Machine Learning, and Simulations with Python
Orland, Paul
Paperback
Math Fundamentals 2 - Algebra: For Middle School - A Quickstudy Laminated Reference Guide
Wright, Susan
LLC
Warren, Peggy
Other
Elementary Mathematics from an Advanced Standpoint: Arithmetic, Algebra, Analysis
Klein, Felix
Paperback
Dilation and Model Theory for Pairs of Commuting Contraction Operators
Sau, Haripada
Ball, Joseph A.
Hardcover
Mathematics: Its Content, Methods and Meaning
Kolmogorov, A. N.
Lavrent'ev, M. a.
Aleksandrov, A. D.
Paperback
Graph Paper Notebook: Beautiful Pink Marble and Rose Gold 8 x 10 inches - 5 x 5 Squares per inch, Quad Ruled Cute Graph Paper Composition No
Blush Marble Notebooks
Paperback
Pre-Algebra for Beginners: The Ultimate Step by Step Guide to Preparing for the Pre-Algebra Test
Nazari, Reza
Paperback
Radical Equations: Civil Rights from Mississippi to the Algebra Project
Cobb, Charles E.
Moses, Robert
Paperback
Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra
Cox, David A.
Little, John
O'Shea, Donal
Hardcover
Math Geek: From Klein Bottles to Chaos Theory, a Guide to the Nerdiest Math Facts, Theorems, and Equations
Rosen, Raphael
Paperback
Mathematics for the IB Diploma: Analysis and Approaches SL: Hodder Education Group
Fannon, Paul
Ward, Stephen
Paperback
Mathematical Foundations of Quantum Computing: A Scaffolding Approach
Cheng, Ran
Lee, Peter
Yu, James
Paperback
No-Nonsense Algebra, 2nd Edition: Part of the Mastering Essential Math Skills Series
Fisher, Richard W.
Paperback
Topics in Number Theory, Volumes I and II
Mathematics
Leveque, William Judson
Leveque, William J.
Paperback
Algebra II: 1001 Practice Problems for Dummies (+ Free Online Practice)
Sterling, Mary Jane
Paperback
Algebraic Theory of Numbers: Translated from the French by Allan J. Silberger
Samuel, Pierre
Paperback
Basic Mathematics for Adult Beginners: An Easy Math Refresher Guide for Adults Restarting Their Education Journey
E. Thompson, Charles
Paperback
ACCUPLACER Math Prep: ACCUPLACER Math Test Study Guide with Two Practice Tests [Includes Detailed Answer Explanations]
Tpb Publishing
Paperback