Last edited by Gronos
Friday, May 15, 2020 | History

4 edition of Introduction to compact Lie groups found in the catalog.

Introduction to compact Lie groups

Howard D. Fegan

Introduction to compact Lie groups

by Howard D. Fegan

  • 59 Want to read
  • 30 Currently reading

Published by World Scientific in Singapore, River Edge, NJ .
Written in English

    Subjects:
  • Compact groups,
  • Lie groups

  • Edition Notes

    Includes bibliographical references (p. 127) and index.

    StatementHoward D. Fegan.
    SeriesSeries in pure mathematics ;, v. 13
    Classifications
    LC ClassificationsQA387 .F44 1991
    The Physical Object
    Paginationxiii, 131 p. :
    Number of Pages131
    ID Numbers
    Open LibraryOL1547059M
    ISBN 109810207026
    LC Control Number91026399

    "This excellent book gives an easy introduction to the theory of Lie groups and Lie algebras by restricting the material to real and complex matrix groups. This provides the reader not only with a wealth of examples, but it also makes the key concepts much more concrete/5(9).   Lie Groups Beyond an Introduction takes the reader from the end of introductory Lie group theory to the threshold of infinite-dimensional group representations. Merging algebra and analysis throughout, the author uses Lie-theoretic methods to develop a beautiful theory having wide applications in mathematics and physics/5(8).

    You can write a book review and share your experiences. Other readers will always be interested in your opinion of the books you've read. Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them. The emphasis on compact (rather than general) Lie groups helps readers to get acquainted with what is widely seen as a difficult field but which is also justified by the wealth of interesting results at this level and the importance of these groups for applications. The book is primarily aimed at researchers working in probability, stochastic.

    Get this from a library! Compact Lie groups. [Mark R Sepanski] -- "This beginning graduate-level text, aimed primarily at Lie Groups courses and related topics, assumes familiarity with elementary concepts from group theory, analysis, and manifold theory. Students. Introduction To K theory and Some Applications. This book explains the following topics: Topological K-theory, K-theory of C* algebras, Geometric and Topological Invarients, THE FUNCTORS K1 K2, K1, SK1 of Orders and Group-rings, Higher Algebraic K-theory, Higher Dimensional Class Groups of Orders and Group rings, Higher K-theory of Schemes, Mod-m Higher K-theory of exact Categories, Schemes.


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Introduction to compact Lie groups by Howard D. Fegan Download PDF EPUB FB2

There are two approaches to compact lie groups: by computation as matrices or theoretically as manifolds with a group structure. The great appeal of this book is the blending of these two approaches. The theoretical results are illustrated by computations and the theory provides a commentary on the computational by: Introduction Blending algebra, analysis, and topology, the study of compact Lie groups is one of the most beautiful areas of mathematics and a key stepping stone to the theory of general Lie groups.

Assuming no prior knowledge of Lie groups, this book covers the structure and representation theory of compact Lie groups. Blending algebra, analysis, and topology, the study of compact Lie groups is one of the most beautiful areas of mathematics and a key stepping stone to the theory of general Lie groups.

Assuming no prior knowledge of Lie groups, this book covers the structure and representation theory of compact Lie by: In some cases of importance, such as the group of isometries of a compact riemannian manifold, the group of symmetries is a compact Lie group.

This should be sufficient reason for studying compact groups of transformations of a space or of a manifold. An even more com- pelling reason for singling out the case of compact groups is the fact that oneFile Size: 6MB.

Lie Groups Beyond an Introduction takes the reader from the end of introductory Lie group theory to the threshold of infinite-dimensional group representations. Merging algebra and analysis throughout, the author uses Lie-theoretic methods to develop a beautiful theory having wide applications in Cited by: Blending algebra, analysis, and topology, the study of compact Lie groups is one of the most beautiful areas of mathematics and a key stepping stone to the theory of general Lie groups.

Assuming no prior knowledge of Lie groups, this book covers the structure and representation theory of compact Lie Introduction to compact Lie groups book.

There is a nice book called Matrix Groups — An Introduction to Lie Group theory by Andrew Baker. It starts by talking on Matrix groups, then introduces Lie groups and shows that Matrix groups are in fact Lie groups.

The last part is dedicated to the study of compact connected Lie groups. Note that it does not cover any representation theory. In the mathematical field of Lie theory, there are two definitions of a compact Lie algebra. Extrinsically and topologically, a compact Lie algebra is the Lie algebra of a compact Lie group.

Introduction to Group Theory for Physicists Marina von Steinkirch State University of New York at Stony Brook [email protected] Janu 2. Preface These notes started after a great course in group theory by Dr. Van Nieuwen-huizen [8] and were constructed mainly following Georgi’s book [3], and other 2 Lie Groups In mathematics, a compact group is a topological group whose topology is compact.

Compact groups are a natural generalization of finite groups with the discrete topology and have properties that carry over in significant fashion. Compact groups have a well-understood theory, in relation to group actions and representation theory.

In the following we will assume all groups are Hausdorff spaces. "This excellent book gives an easy introduction to the theory of Lie groups and Lie algebras by restricting the material to real and complex matrix groups.

This provides the reader not only with a wealth of examples, but it also makes the key concepts much more by: "This excellent book gives an easy introduction to the theory of Lie groups and Lie algebras by restricting the material to real and complex matrix groups. This provides the reader not only with a wealth of examples, but it also makes the key concepts much more concrete.

“The monograph under review is an introduction to the structure theory and geometry of Lie groups accessible both to a broad range of mathematicians and to graduate students. The book consists of twenty one chapters divided into five parts. Examples of path connected matrix groups 82 3.

The path components of a Lie group 84 4. Another connectivity result 86 Chapter 7. Compact connected Lie groups and their maximal tori 89 1. Tori 89 2. Maximal tori in compact Lie groups 91 3.

The normalizer and Weyl group of a maximal torus 93 Bibliography 97 Index 99 Problem sets 1 Problems on File Size: KB. And in Hochschild's book "Structure of Lie Groups" he proves that the theory of maximal compact subgroups "works" in the case of finite component groups too: they're all.

The theory of Lie groups involves many areas of mathematics: algebra, differential geometry, algebraic geometry, analysis, and differential equations. In this book, Arvanitoyeorgos outlines enough of the prerequisites to get the reader started.

Lie Groups Beyond an Introduction takes the reader from the end of introductory Lie group theory to the threshold of infinite-dimensional group representations. Merging algebra and analysis throughout, the author uses Lie-theoretic methods to develop a beautiful Brand: Birkhäuser Basel.

This introduction to the representation theory of compact Lie groups follows Herman Weyl's original approach. It discusses all aspects of finite-dimensional Lie theory, consistently emphasizing the groups themselves.

Thus, the presentation is more geometric and analytic than algebraic. It is a useful reference and a source of explicit computations.4/5(4). Representations of Compact Lie Groups (Graduate Texts in Mathematics) Corr.

2nd print Edition by Theodor Brocker (Author), Tammo Tom Dieck (Author) ISBN ISBN Why is ISBN important. ISBN. This bar-code number lets you verify that you're getting exactly the right version or edition of a book. Introduction to compact Lie groups. [Howard D Fegan] Home. WorldCat Home About WorldCat Help.

Search. Search for Library Items Search for Lists Search for Book: All Authors / Contributors: Howard D Fegan. Find more information about: ISBN: OCLC Number. Basic structural theory of compact Lie groups.

No textbook is required. I will post course notes after each lecture. The following two books could be used as references: rmaat and Lie Groups. M. Sepanski, Compact Lie Groups.Part I: Lie Groups Richard Borcherds, Mark Haiman, Nicolai Reshetikhin, Vera Serganova, and Theo Johnson-Freyd October 5, File Size: 1MB.Chapter 4 deals with the structure of a compact connected Lie group in terms of a maximal torus and the Weyl group.

Chapter 5 contains the representation theory of compact Size: 2MB.