Representation Theory: A First Course (Graduate Texts in Mathematics)

William Fulton; Joe Harris

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The primary goal of these lectures is to introduce a beginner to the finite­ dimensional representations of Lie groups and Lie algebras. Since this goal is shared by quite a few other books, we should explain in this Preface how our approach differs, although the potential reader can probably see this better by a quick browse through the book. Representation theory is simple to define: it is the study of the ways in which a given group may act on vector spaces. It is almost certainly unique, however, among such clearly delineated subjects, in the breadth of its interest to mathematicians. This is not surprising: group actions are ubiquitous in 20th century mathematics, and where the object on which a group acts is not a vector space, we have learned to replace it by one that is {e. g. , a cohomology group, tangent space, etc. }. As a consequence, many mathematicians other than specialists in the field {or even those who think they might want to be} come in contact with the subject in various ways. It is for such people that this text is designed. To put it another way, we intend this as a book for beginners to learn from and not as a reference. This idea essentially determines the choice of material covered here. As simple as is the definition of representation theory given above, it fragments considerably when we try to get more specific.

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"...displays a novel approach to its subject matter... genuinely informative... skillfully worked and interspersed with novel observations" -- BULLETIN OF THE IRISH MATHEMATICAL SOCIETY

"...this textbook is an outstanding example of didactic mastery, and it serves the purpose of the series ‘Readings in Mathematics’ in a perfect manner." -- ZENTRALBLATT MATH

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1.Representation Theory: A First Course (Paperback)

ISBN 10: 0387974954 ISBN 13: 9780387974958
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Book Description Springer-Verlag New York Inc., United States, 1999. Paperback. Condition: New. Language: English . Brand New Book. The primary goal of these lectures is to introduce a beginner to the finite- dimensional representations of Lie groups and Lie algebras. Since this goal is shared by quite a few other books, we should explain in this Preface how our approach differs, although the potential reader can probably see this better by a quick browse through the book. Representation theory is simple to define: it is the study of the ways in which a given group may act on vector spaces. It is almost certainly unique, however, among such clearly delineated subjects, in the breadth of its interest to mathematicians. This is not surprising: group actions are ubiquitous in 20th century mathematics, and where the object on which a group acts is not a vector space, we have learned to replace it by one that is {e. g. , a cohomology group, tangent space, etc. }. As a consequence, many mathematicians other than specialists in the field {or even those who think they might want to be} come in contact with the subject in various ways. It is for such people that this text is designed. To put it another way, we intend this as a book for beginners to learn from and not as a reference. This idea essentially determines the choice of material covered here. As simple as is the definition of representation theory given above, it fragments considerably when we try to get more specific. 1st Corrected ed. 2004. Corr. 3rd printing 1999. Seller Inventory # KNV9780387974958

US$52.02 Convert currency Shipping: FREE From United Kingdom to U.S.A. Destination, rates & speeds 2.Representation Theory: A First Course (Paperback) Published by Springer-Verlag New York Inc., United States (1999) ISBN 10: 0387974954 ISBN 13: 9780387974958 New Paperback Quantity Available: 10 Seller: Book Depository hard to find (London, United Kingdom) Rating Book Description Springer-Verlag New York Inc., United States, 1999. Paperback. Condition: New. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. The primary goal of these lectures is to introduce a beginner to the finite- dimensional representations of Lie groups and Lie algebras. Since this goal is shared by quite a few other books, we should explain in this Preface how our approach differs, although the potential reader can probably see this better by a quick browse through the book. Representation theory is simple to define: it is the study of the ways in which a given group may act on vector spaces. It is almost certainly unique, however, among such clearly delineated subjects, in the breadth of its interest to mathematicians. This is not surprising: group actions are ubiquitous in 20th century mathematics, and where the object on which a group acts is not a vector space, we have learned to replace it by one that is {e. g. , a cohomology group, tangent space, etc. }. As a consequence, many mathematicians other than specialists in the field {or even those who think they might want to be} come in contact with the subject in various ways. It is for such people that this text is designed. To put it another way, we intend this as a book for beginners to learn from and not as a reference. This idea essentially determines the choice of material covered here. As simple as is the definition of representation theory given above, it fragments considerably when we try to get more specific. 1st Corrected ed. 2004. Corr. 3rd printing 1999. Seller Inventory # LIE9780387974958 Buy New US$ 56.47
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3.Representation Theory: A First Course (Paperback)

ISBN 10: 0387974954 ISBN 13: 9780387974958
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Book Description Springer-Verlag New York Inc., United States, 1999. Paperback. Condition: New. Language: English . Brand New Book. The primary goal of these lectures is to introduce a beginner to the finite- dimensional representations of Lie groups and Lie algebras. Since this goal is shared by quite a few other books, we should explain in this Preface how our approach differs, although the potential reader can probably see this better by a quick browse through the book. Representation theory is simple to define: it is the study of the ways in which a given group may act on vector spaces. It is almost certainly unique, however, among such clearly delineated subjects, in the breadth of its interest to mathematicians. This is not surprising: group actions are ubiquitous in 20th century mathematics, and where the object on which a group acts is not a vector space, we have learned to replace it by one that is {e. g. , a cohomology group, tangent space, etc. }. As a consequence, many mathematicians other than specialists in the field {or even those who think they might want to be} come in contact with the subject in various ways. It is for such people that this text is designed. To put it another way, we intend this as a book for beginners to learn from and not as a reference. This idea essentially determines the choice of material covered here. As simple as is the definition of representation theory given above, it fragments considerably when we try to get more specific. 1st Corrected ed. 2004. Corr. 3rd printing 1999. Seller Inventory # KNV9780387974958

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Shipping: US$11.57 From United Kingdom to U.S.A. Destination, rates & speeds 10.Representation Theory Published by Springer (1991) ISBN 10: 0387974954 ISBN 13: 9780387974958 New Quantity Available: > 20 Print on Demand Seller: Paperbackshop-US (Wood Dale, IL, U.S.A.) Rating Book Description Springer, 1991. PAP. Condition: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Seller Inventory # IQ-9780387974958 Buy New US$ 62.19
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