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Lie groups, Lie algebras, and representations : an elementary introduction Brian C. Hall.

By: Material type: TextTextSeries: Graduate texts in mathematics ; 222.Publication details: New York: Springer, 2015.Edition: Second editionDescription: xiii, 449 pages : illustrations ; 25 cmISBN:
  • 9783319134666 (hbk : acidfree paper)
  • 3319134663 (hbk : acidfree paper)
Subject(s): DDC classification:
  • 512.55 H14L2 23
LOC classification:
  • QA387 .H34 2015
Contents:
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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Holdings
Item type Current library Collection Call number Status Date due Barcode
Books Books Central Library, IISER Bhopal Reference Section Reference 512.55 H14L2 (Browse shelf(Opens below)) Available 9805
Books Books Central Library, IISER Bhopal General Section Non-fiction 512.55 H14L2 (Browse shelf(Opens below)) Not For Loan 9817

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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