An edition of Matrix groups (2002)

Matrix groups

an introduction to Lie group theory

by

Cover of: Matrix groups by Andrew Baker, Andrew Baker
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Last edited by MARC Bot
September 28, 2024 | History
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An edition of Matrix groups (2002)

Matrix groups

an introduction to Lie group theory

by

Aimed at advanced undergraduate and beginning graduate students, this book provides a first taste of the theory of Lie groups as an appetiser for a more substantial further course. Lie theoretic ideas lie at the heart of much of standard undergraduate linear algebra and exposure to them can inform or motivate the study of the latter. The main focus is on matrix groups, i.e., closed subgroups of real and complex general linear groups. The first part studies examples and describes the classical families of simply connected compact groups. The second part introduces the idea of a lie group and studies the associated notion of a homogeneous space using orbits of smooth actions. Throughout, the emphasis is on providing an approach that is accessible to readers equipped with a standard undergraduate toolkit of algebra and analysis. Although the formal prerequisites are kept as low level as possible, the subject matter is sophisticated and contains many of the key themes of the fully developed theory, preparing students for a more standard and abstract course in Lie theory and differential geometry.

Publish Date
Publisher
Springer
Language
English
Pages
330

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Previews available in: English

Subjects

Matrix groups, Group theory, Mathematics, Global differential geometry, Topological groups, Matrix theory, Differential Geometry, Lie Groups Topological Groups, Matrix Theory Linear and Multilinear Algebras, Mathematical and Computational Physics Theoretical, Group Theory and Generalizations
Edition Availability
Cover of: Matrix groups
Matrix groups: an introduction to Lie group theory
2002, Springer
in English

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Book Details

Edition Notes

Includes bibliographical references (p. 323-324) and index

Published in
London, New York
Series
Springer undergraduate mathematics series

Classifications

Library of Congress
QA174.2 .B35 2002, QA1-939, QA174.2 .B35 2001, QA252.3, QA387

The Physical Object

Pagination
xi, 330 p. :
Number of pages
330

Edition Identifiers

Open Library
OL18133151M
Internet Archive
matrixgroupsintr00bake_512
ISBN 10
1852334703
LCCN
2001049261
OCLC/WorldCat
47667223
LibraryThing
1461470
Goodreads
558521

Work Identifiers

Work ID
OL12330775W

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