Representation theory : a first course / William Fulton, Joe Harris.

Format:

Book

Author/Creator:

Fulton, William, 1939- author.

Harris, Joe, 1951- author.

Series:

Graduate texts in mathematics ; 129.

Graduate texts in mathematics. Readings in mathematics

Graduate texts in mathematics ; 129. Readings in mathematics

Language:

English

Subjects (All):

Representations of groups.

Representations of algebras.

Lie groups.

Lie algebras.

Physical Description:

xv, 551 pages : illustrations ; 24 cm.

Place of Publication:

New York : Springer-Verlag, [1991]

Contents:

Machine derived contents note: 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.

Notes:

Includes bibliographical references (pages 536-541) and indexes.

Other Format:

Online version: Fulton, William, 1939- Representation theory.

ISBN:

0387974954

9780387974958

0387975276

9780387975276

3540975276

9783540975274

3540974954

9783540974956

OCLC:

22861245

Publisher Number:

90102538516