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

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9780387974958: Representation Theory: A First Course (Graduate Texts in Mathematics)

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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Book Description Springer-Verlag New York Inc., United States, 1999. Paperback. Book 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. Bookseller Inventory # AAU9780387974958

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Book Description Springer-Verlag New York Inc., United States, 1999. Paperback. Book 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. Bookseller Inventory # AAU9780387974958

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Book Description Springer-Verlag New York Inc., 1999. Book Condition: New. Introducing finite-dimensional representations of Lie groups and Lie algebras, this example-oriented book works from representation theory of finite groups, through Lie groups and Lie algrbras to the finite dimensional representations of the classical groups. Series: Graduate Texts in Mathematics. Num Pages: 566 pages, biography. BIC Classification: PBG; PBKF. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 234 x 160 x 30. Weight in Grams: 790. . 1999. Corrected. Paperback. . . . . . Bookseller Inventory # V9780387974958

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Book Description Springer-Verlag New York Inc. Book Condition: New. Introducing finite-dimensional representations of Lie groups and Lie algebras, this example-oriented book works from representation theory of finite groups, through Lie groups and Lie algrbras to the finite dimensional representations of the classical groups. Series: Graduate Texts in Mathematics. Num Pages: 566 pages, biography. BIC Classification: PBG; PBKF. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 234 x 160 x 30. Weight in Grams: 790. . 1999. Corrected. Paperback. . . . . Books ship from the US and Ireland. Bookseller Inventory # V9780387974958

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Book Description Springer-Verlag New York Inc., 1991. PAP. Book Condition: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Bookseller Inventory # BB-9780387974958

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Book Description Springer Verlag, 1991. Paperback. Book Condition: Brand New. 1st ed. 1991. corr. 5th printing edition. 566 pages. 9.50x6.25x1.00 inches. In Stock. Bookseller Inventory # __0387974954

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