Lie groups, Lie algebras, and representations : an elementary introduction Brian C. Hall.
Material type: 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)
- 512.55 H14L2 23
- QA387 .H34 2015
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 |
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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