TY  - BOOK
AU  - Hall,Brian C.
TI  - Lie groups, Lie algebras, and representations: an elementary introduction 
T2  - Graduate texts in mathematics
SN  - 9783319134666 (hbk : acidfree paper)
AV  - QA387 .H34 2015
U1  - 512.55 H14L2 23
PY  - 2015///
CY  - New York
PB  - Springer
KW  - Lie groups
KW  - Lie algebras
KW  - Representations of Lie groups
KW  - Representations of Lie algebras
KW  - fast
N1  - 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
ER  -