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An Introduction to Lie Groups and the Geometry of Homogeneous Spaces by Andreas Arvanitoyeorgos (Paperback, 2003)

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Product Information

It is remarkable that so much about Lie groups could be packed into this small book. But after reading it, students will be well-prepared to continue with more advanced, graduate-level topics in differential geometry or the theory of Lie groups. The theory of Lie groups involves many areas of mathematics: algebra, differential geometry, algebraic geometry, analysis, and differential equations. In this book, Arvanitoyeorgos outlines eugh of the prerequisites to get the reader started. He then chooses a path through this rich and diverse theory that aims for an understanding of the geometry of Lie groups and homogeneous spaces. In this way, he avoids the extra detail needed for a thorough discussion of representation theory. Lie groups and homogeneous spaces are especially useful to study in geometry, as they provide excellent examples where quantities (such as curvature) are easier to compute.A good understanding of them provides lasting intuition, especially in differential geometry. The author provides several examples and computations. Topics discussed include the classification of compact and connected Lie groups, Lie algebras, geometrical aspects of compact Lie groups and reductive homogeneous spaces, and important classes of homogeneous spaces, such as symmetric spaces and flag manifolds. Applications to more advanced topics are also included, such as homogeneous Einstein metrics, Hamiltonian systems, and homogeneous geodesics in homogeneous spaces. The book is suitable for advanced undergraduates, graduate students, and research mathematicians interested in differential geometry and neighboring fields, such as topology, harmonic analysis, and mathematical physics.

Product Identifiers

Publisher
American Mathematical Society
ISBN-10
0821827782
ISBN-13
9780821827789
eBay Product ID (ePID)
107409459

Product Key Features

Author
Andreas Arvanitoyeorgos
Format
Paperback
Language
English
Subject
Mathematics
Type
Textbook

Dimensions

Weight
192g
Height
230mm

Additional Product Features

Place of Publication
Providence
Series Part/Volume Number
No. 22
Series Title
Student Mathematical Library
Date of Publication
15/10/2003
Edition Statement
Illustrated Edition
Genre
Mathematics
Country of Publication
United States

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An Introduction to Lie Groups and the Geometry of Homogeneous Spaces by Andreas Arvanitoyeorgos (Paperback, 2003)

Best-selling in Adult Learning & University

Secrets Of Mental Math: The Mathemagician's Guide to Lightening Calculation and Amazing Maths Tricks by Arthur Benjamin, Michael Shermer (Paperback, 2006)

Never Split the Difference: Negotiating as if Your Life Depended on It by Chris Voss, Tahl Raz (Paperback, 2017)

The Falsification of History: Our Distorted Reality by John Hamer (Paperback, 2013)

Die with Zero: Getting All You Can from Your Money and Your Life by Bill Perkins (Paperback, 2021)

Adult Children of Emotionally Immature Parents: How to Heal from Distant, Rejecting, or Self-Involved Parents by Lindsay C Gibson (Paperback, 2015)

Code of Practice for In-service Inspection and Testing of Electrical Equipment by The Institution of Engineering and Technology (Paperback, 2020)

Clean & Green: 101 Hints and Tips for a More Eco-Friendly Home by Nancy Birtwhistle (Hardcover, 2021)

Save on Adult Learning & University

Bold Beans: Beautiful, Brilliant and Exciting Recipes by Amelia Christie-Miller

This Is Why You Dream: What your sleeping brain reveals about your waking life b

The Concise Laws of Human Nature by Robert Greene Paperback, English

Zero to One: Notes on Start Ups, or How to Build the Future by Thiel, Peter The

Staring At The Sun: Being at peace with your own mortality by Irvin Yalom

Why We Get Sick (Paperback) by Bikman & Benjamin

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