An introduction to Lie groups and Lie algebras/
Alexander Kirillov, Jr.
- Cambridge, UK; New York: Cambridge University Press, 2008.
- ix, 222 p.: ill.; 24 cm.
- Cambridge studies in advanced mathematics; 113 .
- Cambridge studies in advanced mathematics; 113. .
Includes bibliographical references (p. 216-219) and index.
Introduction -- Lie groups: basic definitions -- Lie groups and Lie algebras -- Representation of Lie groups and Lie algebras -- Structure theory of Lie algebras -- Complex semisimple Lie algebras -- Root systems -- Representation of semisimple Lie algebras -- Overview of the literature -- Appendix A: Root systems and simple Lie algebras -- Appendix B: Sample syllabus -- List of notati .