# Introduction to Lie Algebras and Representation Theory (Graduate Texts in Mathematics) (v. 9)

## J.E. Humphreys

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( 17 valoraciones por Goodreads )

This book is designed to introduce the reader to the theory of semisimple Lie algebras over an algebraically closed field of characteristic 0, with emphasis on representations. A good knowledge of linear algebra (including eigenvalues, bilinear forms, euclidean spaces, and tensor products of vector spaces) is presupposed, as well as some acquaintance with the methods of abstract algebra. The first four chapters might well be read by a bright undergraduate; however, the remaining three chapters are admittedly a little more demanding. Besides being useful in many parts of mathematics and physics, the theory of semisimple Lie algebras is inherently attractive, combining as it does a certain amount of depth and a satisfying degree of completeness in its basic results. Since Jacobson's book appeared a decade ago, improvements have been made even in the classical parts of the theory. I have tried to incor­ porate some of them here and to provide easier access to the subject for non-specialists. For the specialist, the following features should be noted: (I) The Jordan-Chevalley decomposition of linear transformations is emphasized, with "toral" subalgebras replacing the more traditional Cartan subalgebras in the semisimple case. (2) The conjugacy theorem for Cartan subalgebras is proved (following D. J. Winter and G. D. Mostow) by elementary Lie algebra methods, avoiding the use of algebraic geometry.

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Review:

J.E. Humphreys

Introduction to Lie Algebras and Representation Theory

"An excellent introduction to the subject, ideal for a one semester graduate course."THE AMERICAN MATHEMATICAL MONTHLY

"Exceptionally well written and ideally suited either for independent reading or as a text for an introduction to Lie algebras and their representations."MATHEMATICAL REVIEWS

J.E. Humphreys

Introduction to Lie Algebras and Representation Theory

"An excellent introduction to the subject, ideal for a one semester graduate course."???THE AMERICAN MATHEMATICAL MONTHLY

"Exceptionally well written and ideally suited either for independent reading or as a text for an introduction to Lie algebras and their representations."???MATHEMATICAL REVIEWS

J.E. Humphreys

Introduction to Lie Algebras and Representation Theory

"An excellent introduction to the subject, ideal for a one semester graduate course."a "THE AMERICAN MATHEMATICAL MONTHLY

"Exceptionally well written and ideally suited either for independent reading or as a text for an introduction to Lie algebras and their representations."a "MATHEMATICAL REVIEWS

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## 1.Introduction to Lie Algebras and Representation Theory (Hardback)

Editorial: Springer-Verlag New York Inc., United States (1994)
ISBN 10: 0387900535 ISBN 13: 9780387900537
Librería
The Book Depository
(London, Reino Unido)
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Descripción Springer-Verlag New York Inc., United States, 1994. Hardback. Estado de conservación: New. 1st ed. 1972. Corr. 7th printing 1994. Language: English . Brand New Book. This book is designed to introduce the reader to the theory of semisimple Lie algebras over an algebraically closed field of characteristic 0, with emphasis on representations. A good knowledge of linear algebra (including eigenvalues, bilinear forms, euclidean spaces, and tensor products of vector spaces) is presupposed, as well as some acquaintance with the methods of abstract algebra. The first four chapters might well be read by a bright undergraduate; however, the remaining three chapters are admittedly a little more demanding. Besides being useful in many parts of mathematics and physics, the theory of semisimple Lie algebras is inherently attractive, combining as it does a certain amount of depth and a satisfying degree of completeness in its basic results. Since Jacobson s book appeared a decade ago, improvements have been made even in the classical parts of the theory. I have tried to incor- porate some of them here and to provide easier access to the subject for non-specialists. For the specialist, the following features should be noted: (I) The Jordan-Chevalley decomposition of linear transformations is emphasized, with toral subalgebras replacing the more traditional Cartan subalgebras in the semisimple case. (2) The conjugacy theorem for Cartan subalgebras is proved (following D. J. Winter and G. D. Mostow) by elementary Lie algebra methods, avoiding the use of algebraic geometry. Nº de ref. de la librería AAZ9780387900537

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## 2.Introduction to Lie Algebras and Representation Theory

Editorial: Springer Verlag, China (2008)
ISBN 10: 0387900535 ISBN 13: 9780387900537
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Bonny. Lee
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Descripción Springer Verlag, China, 2008. Soft cover. Estado de conservación: Brand New. International edition Brand New SOFCOVER standard delivery. Nº de ref. de la librería 001088

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## 3.Introduction to Lie Algebras and Representation Theory

Editorial: Springer Verlag, China (2008)
ISBN 10: 0387900535 ISBN 13: 9780387900537
Edición internacional
Librería
Bonny. Lee
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Descripción Springer Verlag, China, 2008. Soft cover. Estado de conservación: Brand New. International edition Brand New SOFTCOVER standard deliver. Nº de ref. de la librería 000914

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## 4.Introduction to Lie Algebras and Representation Theory

Editorial: Springer 1997-04-01 (1997)
ISBN 10: 0387900535 ISBN 13: 9780387900537
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Descripción Springer 1997-04-01, 1997. Estado de conservación: New. Brand new book, sourced directly from publisher. Dispatch time is 24-48 hours from our warehouse. Book will be sent in robust, secure packaging to ensure it reaches you securely. Nº de ref. de la librería NU-GRD-02997681

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## 5.Introduction to Lie Algebras and Representation Theory (Hardback)

Editorial: Springer-Verlag New York Inc., United States (1994)
ISBN 10: 0387900535 ISBN 13: 9780387900537
Librería
The Book Depository US
(London, Reino Unido)
Valoración

Descripción Springer-Verlag New York Inc., United States, 1994. Hardback. Estado de conservación: New. 1st ed. 1972. Corr. 7th printing 1994. Language: English . Brand New Book. This book is designed to introduce the reader to the theory of semisimple Lie algebras over an algebraically closed field of characteristic 0, with emphasis on representations. A good knowledge of linear algebra (including eigenvalues, bilinear forms, euclidean spaces, and tensor products of vector spaces) is presupposed, as well as some acquaintance with the methods of abstract algebra. The first four chapters might well be read by a bright undergraduate; however, the remaining three chapters are admittedly a little more demanding. Besides being useful in many parts of mathematics and physics, the theory of semisimple Lie algebras is inherently attractive, combining as it does a certain amount of depth and a satisfying degree of completeness in its basic results. Since Jacobson s book appeared a decade ago, improvements have been made even in the classical parts of the theory. I have tried to incor- porate some of them here and to provide easier access to the subject for non-specialists. For the specialist, the following features should be noted: (I) The Jordan-Chevalley decomposition of linear transformations is emphasized, with toral subalgebras replacing the more traditional Cartan subalgebras in the semisimple case. (2) The conjugacy theorem for Cartan subalgebras is proved (following D. J. Winter and G. D. Mostow) by elementary Lie algebra methods, avoiding the use of algebraic geometry. Nº de ref. de la librería AAZ9780387900537

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## 6.Introduction to Lie Algebras and Representation Theory: v. 9 (Graduate Texts in Mathematics) (Hardcover)

ISBN 10: 0387900535 ISBN 13: 9780387900537
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Descripción Estado de conservación: New. Bookseller Inventory # ST0387900535. Nº de ref. de la librería ST0387900535

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## 7.Introduction to Lie Algebras and Representation Theory

Editorial: Springer New York 1973-01-23, New York (1973)
ISBN 10: 0387900535 ISBN 13: 9780387900537
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Blackwell's
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Descripción Springer New York 1973-01-23, New York, 1973. hardback. Estado de conservación: New. Nº de ref. de la librería 9780387900537

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## 8.Introduction to Lie Algebras and Representation Theory

Editorial: Springer-Verlag New York Inc. (1994)
ISBN 10: 0387900535 ISBN 13: 9780387900537
Librería
Books2Anywhere
(Fairford, GLOS, Reino Unido)
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Descripción Springer-Verlag New York Inc., 1994. HRD. Estado de conservación: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Nº de ref. de la librería GB-9780387900537

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## 9.Introduction to Lie Algebras and Representation Theory: v. 9 (1st ed. 1972. Corr. 7th printing 1994)

Editorial: Springer-Verlag New York Inc.
ISBN 10: 0387900535 ISBN 13: 9780387900537
Librería
THE SAINT BOOKSTORE
(Southport, Reino Unido)
Valoración

Descripción Springer-Verlag New York Inc. Hardback. Estado de conservación: new. BRAND NEW, Introduction to Lie Algebras and Representation Theory: v. 9 (1st ed. 1972. Corr. 7th printing 1994), James E. Humphreys, This book is designed to introduce the reader to the theory of semisimple Lie algebras over an algebraically closed field of characteristic 0, with emphasis on representations. A good knowledge of linear algebra (including eigenvalues, bilinear forms, euclidean spaces, and tensor products of vector spaces) is presupposed, as well as some acquaintance with the methods of abstract algebra. The first four chapters might well be read by a bright undergraduate; however, the remaining three chapters are admittedly a little more demanding. Besides being useful in many parts of mathematics and physics, the theory of semisimple Lie algebras is inherently attractive, combining as it does a certain amount of depth and a satisfying degree of completeness in its basic results. Since Jacobson's book appeared a decade ago, improvements have been made even in the classical parts of the theory. I have tried to incor- porate some of them here and to provide easier access to the subject for non-specialists. For the specialist, the following features should be noted: (I) The Jordan-Chevalley decomposition of linear transformations is emphasized, with "toral" subalgebras replacing the more traditional Cartan subalgebras in the semisimple case. (2) The conjugacy theorem for Cartan subalgebras is proved (following D. J. Winter and G. D. Mostow) by elementary Lie algebra methods, avoiding the use of algebraic geometry. Nº de ref. de la librería B9780387900537

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## 10.Introduction to Lie Algebras and Representation Theory

Editorial: Springer-Verlag New York Inc. (1994)
ISBN 10: 0387900535 ISBN 13: 9780387900537
Nuevos Tapa dura Primera edición Cantidad: 4
Librería
Valoración

Descripción Springer-Verlag New York Inc., 1994. Estado de conservación: New. Introduces the theory of semisimple Lie algebras over an algebraically closed field of characteristic 0, with emphasis on representations. Series: Graduate Texts in Mathematics. Num Pages: 173 pages, biography. BIC Classification: PBF. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 244 x 165 x 17. Weight in Grams: 454. . 1994. 1st ed. 1972. Corr. 7th printing 1994. Hardcover. . . . . . Nº de ref. de la librería V9780387900537

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