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


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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.