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RecordNumber
2872
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Author
Hall, Brian C
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Title
Lie groups, Lie algebras, and representations an elementary introduction
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Author Statement
Brian C. Hall.
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Edition
Second edition
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Collation
xiii, 449 pages illustrations 25 cm
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Series
Graduate texts in mathematics
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Notes
Includes bibliographical references (pages 443-444) and index , Part I: General theory -- Martix Lie groups -- The matrix exponential -- Lie algebras -- Basic representation theory -- The Baker-Campbell-Hausdorff formula and its consequences -- Part II: Semisimple Lie algebras -- The represantations of sl(3;C) -- Semisimple Lie algebras -- Root systems -- Representations of semisimple Lie algebras -- Further properties of the representations -- Part III: Compact Lie groups -- Compact Lie groups and maximal tori -- The compact group approach to representation theory -- Fundamental groups of compact Lie groups -- A: Linear algebra review -- B: Differential forms -- C: Clebsch-Gordan theory and the Wigner-Eckart theorem -- D: Completeness of characters
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Subject
Lie groups. , Lie algebras. , Representations of Lie groups. , Representations of Lie algebras. , Lie algebras. , Lie groups. , Representations of Lie algebras. , Representations of Lie groups.
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