## Table of contents for Representation theory : a first course / William Fulton, Joe Harris.

Bibliographic record and links to related information available from the Library of Congress catalog

Information from electronic data provided by the publisher. May be incomplete or contain other coding.

Part I: Finite Groups; 1. Representations of Finite Groups; 2. Characters; 3. Examples; Induced Representations; Groups Algebras; Real Representations; 4. Representations of Ed: Young Diagrams and Frobenius's Character Formula; 5. Representation of Ud and GL2 and (Fq); 6. Weyl's Construction; Part II: Lie Groups and Lie Algebras; 7. Lie Groups; 8. Lie Algebras and Lie Groups; 9.Initial Classification of Lie Algebras; 10. Lie Algebras in Dimensions One, Two, and Three; 11. Representation of sI2 C; 12. Representation of sI3 C, Part I; 13. Representation of sI3 C, II: Mainly Lots of Examples; Part III: The Classical Lie Algebras and Their Representations; 14. The General Set-up: Analyzing the Structure and Representations of an Arbitrary Semi simple Lie Algebra; 15. SI4 C and sIn C; 16. Symplectic Lie Algebras; 17. Sp6C and sp2n C; 18. Orthogonal Lie Algebras; 19. So6 C, so7 C, and som C; 20. Spin Representations of so m C; Part IV: Lie Theory; 21. The Classification of Complex Simple Lie Algebras; 22. G2 and Other Exceptional Lie Algebras; 23. Complex Lie Groups; Characters; 24. Weyl Character Formula; 25. More Character Formulas; 26. Real Lie Algebras and Lie Groups; Appendices A - F; Hints, Answers, and References; Bibliography; Index of Symbols; Index

Library of Congress subject headings for this publication:

Representations of groups.

Representations of algebras.

Lie groups.

Lie algebras.