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

By:

Hall, Brian C

Material type: Text

TextSeries: 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	Central Library, IISER Bhopal Reference Section	Reference	512.55 H14L2 (Browse shelf(Opens below))	Available		9805
Books	Central Library, IISER Bhopal General Section	Non-fiction	512.55 H14L2 (Browse shelf(Opens below))	Not For Loan		9817

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Includes bibliographical references (pages 443-444) and index.

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