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

## J.E. Humphreys

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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)

Editore: Springer-Verlag New York Inc., United States (1994)
ISBN 10: 0387900535 ISBN 13: 9780387900537
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Descrizione libro Springer-Verlag New York Inc., United States, 1994. Hardback. Condizione libro: 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. Codice libro della libreria AAZ9780387900537

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## 2.Introduction to Lie Algebras and Representation Theory

Editore: Springer 1997-04-01 (1997)
ISBN 10: 0387900535 ISBN 13: 9780387900537
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Descrizione libro Springer 1997-04-01, 1997. Condizione libro: 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. Codice libro della libreria NU-GRD-02997681

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## 3.Introduction to Lie Algebras and Representation Theory

Editore: Springer New York 1973-01-23, New York (1973)
ISBN 10: 0387900535 ISBN 13: 9780387900537
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Descrizione libro Springer New York 1973-01-23, New York, 1973. hardback. Condizione libro: New. Codice libro della libreria 9780387900537

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

Editore: Springer-Verlag New York Inc., United States (1994)
ISBN 10: 0387900535 ISBN 13: 9780387900537
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Valutazione libreria

Descrizione libro Springer-Verlag New York Inc., United States, 1994. Hardback. Condizione libro: 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. Codice libro della libreria AAZ9780387900537

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## 5.Introduction to Lie Algebras and Representation Theory

Editore: Springer Verlag, China (2008)
ISBN 10: 0387900535 ISBN 13: 9780387900537
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Descrizione libro Springer Verlag, China, 2008. Soft cover. Condizione libro: Brand New. International edition Brand New SOFTCOVER standard deliver. Codice libro della libreria 000914

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## 6.Introduction to Lie Algebras and Representation Theory

Editore: Springer Verlag, China (2008)
ISBN 10: 0387900535 ISBN 13: 9780387900537
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Descrizione libro Springer Verlag, China, 2008. Soft cover. Condizione libro: Brand New. International edition Brand New SOFCOVER standard delivery. Codice libro della libreria 001088

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

ISBN 10: 0387900535 ISBN 13: 9780387900537
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Descrizione libro Condizione libro: New. Bookseller Inventory # ST0387900535. Codice libro della libreria ST0387900535

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## 8.Introduction to Lie Algebras and Representation Theory

Editore: Springer-Verlag New York Inc. (1994)
ISBN 10: 0387900535 ISBN 13: 9780387900537
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Descrizione libro Springer-Verlag New York Inc., 1994. HRD. Condizione libro: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Codice libro della libreria GB-9780387900537

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

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Descrizione libro Springer. Hardcover. Condizione libro: New. New copy - Usually dispatched within 2 working days. Codice libro della libreria B9780387900537

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## 10.Introduction to Lie Algebras and Representation Theory 9780387900537

ISBN 10: 0387900535 ISBN 13: 9780387900537
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Descrizione libro Hardback. Condizione libro: New. Not Signed; 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. book. Codice libro della libreria ria9780387900537_rkm

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