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

By: Resource type: Ressourcentyp: BuchBookPublisher number: 86385207Language: English Series: Graduate texts in mathematics ; 222Publisher: Cham ; Heidelberg ; New York ; Dordrecht ; London : Springer, [2015]Copyright date: © 2015Edition: Second editionDescription: xiii, 451 Seiten : DiagrammeISBN:
  • 3319134663
  • 9783319134666
Subject(s): Additional physical formats: No title | 9783319134673. | Erscheint auch als: Lie groups, lie algebras, and representations. Online-Ausgabe 2nd ed. 2015. [s.l.] : Springer-Verlag, 2015. 1 Online-Ressource (XIV, 351 Seiten) | Erscheint auch als: Lie Groups, Lie Algebras, and Representations. Online-Ausgabe 2nd ed. 2015. Cham : Springer, 2015. Online-Ressource (XIII, 449 p. 79 illus., 7 illus. in color, online resource)DDC classification:
  • 512 23
  • 512.55
MSC: MSC: *22-01 | 22E60 | 17-01RVK: RVK: SK 340LOC classification:
  • QA387
Summary: 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 charactersPPN: PPN: 826886213
Holdings
Item type Home library Shelving location Call number Status Barcode
Freihandbestand ausleihbar Fachbibliothek Mathematik Bibliothek / frei aufgestellt Algebr. / Hal Available 36389028090
Total holds: 0
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