Lie groups, Lie algebras, and representations :
Hall, Brian C.
Lie groups, Lie algebras, and representations : an elementary introduction Brian C. Hall. - Second edition. - New York: Springer, 2015. - xiii, 449 pages : illustrations ; 25 cm. - Graduate texts in mathematics ; 222 . - Graduate texts in mathematics ; 222. .
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.
9783319134666 (hbk : acidfree paper) 3319134663 (hbk : acidfree paper) = Mathematics-textbook collection
2015935277
Lie groups.
Lie algebras.
Representations of Lie groups.
Representations of Lie algebras.
Lie algebras.
Lie groups.
Representations of Lie algebras.
Representations of Lie groups.
QA387 / .H34 2015
512.55 H14L2
Lie groups, Lie algebras, and representations : an elementary introduction Brian C. Hall. - Second edition. - New York: Springer, 2015. - xiii, 449 pages : illustrations ; 25 cm. - Graduate texts in mathematics ; 222 . - Graduate texts in mathematics ; 222. .
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.
9783319134666 (hbk : acidfree paper) 3319134663 (hbk : acidfree paper) = Mathematics-textbook collection
2015935277
Lie groups.
Lie algebras.
Representations of Lie groups.
Representations of Lie algebras.
Lie algebras.
Lie groups.
Representations of Lie algebras.
Representations of Lie groups.
QA387 / .H34 2015
512.55 H14L2