Representation theory : a first course / William Fulton, Joe Harris.
"The primary goal of these lectures is to introduce a beginner to the finite-dimensional representations of Lie groups and Lie algebras. Intended to serve non-specialists, the concentration of the text is on examples. The general theory is developed sparingly, and then mainly as useful and unif...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York :
Springer-Verlag,
2004.
|
| Series: | Graduate texts in mathematics ;
129. |
| Subjects: |
MARC
| LEADER | 00000cam a2200000 i 4500 | ||
|---|---|---|---|
| 005 | 20221102155640.0 | ||
| 008 | 110502r20041991nyua b 001 0 eng d | ||
| 010 | |a 90024926 |z 90026417 | ||
| 011 | |a BIB MATCHES WORLDCAT | ||
| 020 | |a 0387974954 |q alk. paper | ||
| 020 | |a 9780387974958 |q alk. paper | ||
| 020 | |a 0387975276 |q cased | ||
| 020 | |a 9780387975276 |q cased | ||
| 020 | |a 3540975276 |q Germany | ||
| 020 | |a 9783540975274 |q Germany | ||
| 020 | |a 3540974954 |q German pbk | ||
| 020 | |a 9783540974956 |q German pbk | ||
| 035 | |a (ATU)b11934943 | ||
| 035 | |a (OCoLC)22861245 | ||
| 040 | |a DLC |b eng |e rda |c DLC |d FPU |d EYE |d UKM |d BAKER |d NLGGC |d LVB |d YDXCP |d OCLCG |d SYB |d GBVCP |d ZWZ |d OCLCQ |d ATU | ||
| 050 | 0 | 0 | |a QA171 |b .F85 1991 |
| 082 | 0 | 0 | |a 512.2 |2 22 |
| 100 | 1 | |a Fulton, William, |d 1939- |e author. |9 273889 | |
| 245 | 1 | 0 | |a Representation theory : |b a first course / |c William Fulton, Joe Harris. |
| 264 | 1 | |a New York : |b Springer-Verlag, |c 2004. | |
| 300 | |a xv, 551 pages : |b illustrations ; |c 24 cm. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a unmediated |b n |2 rdamedia | ||
| 338 | |a volume |b nc |2 rdacarrier | ||
| 490 | 1 | |a Graduate texts in mathematics ; |v 129 | |
| 490 | 1 | |a Graduate texts in mathematics. Readings in mathematics | |
| 500 | |a Reprint: originally published 1991. | ||
| 504 | |a Includes bibliographical references (pages 536-541) and index. | ||
| 505 | 0 | 0 | |g Part I. |t Finite Groups : -- |g 1. |t Representations of Finite Groups -- |g 2. |t Characters -- |g 3. |t Examples; Induced Representations; Group Algebras; Real Representations -- |g 4. |t Representations of Gd : Young Diagrams and Frobenius's Character Formula -- |g 5. |t Representations of Ud and GL2(Fq) -- |g 6. |t Weyl's Construction Part D: Lie Groups and Lie Algebras -- |g 7. |t Lie Groups -- |g 8. |t Lie Algebras and Lie Groups -- |g 9. |t Initial Classification of Lie Algebras -- |g 10. |t Lie Algebras in Dimensions One, Two, and Three -- |g 11. |t Representations of sl2 C -- |g 12. |t Representations of sI3C, Part I -- |g 13. |t Representations of sl3C, Part II: Mainly Lots of Examples -- |g 14. |t The General Set-up: Analyzing the Structure and Representations -- |g 15. |t Sl4C and slnC -- |g 16. |t Symplectic Lie Algebras -- |g 17. |t sp6C and sp2nC -- |g 18. |t Orthogonal Lie Algebras -- |g 19. |t so6C, so7C, and so5C -- |g 20. |t Spin Representations of somC -- |g Part IV. |t Lie Theory : -- |g 21. |t The Classification of Complex Simple Lie Algebras -- |g 22. |t g2 and Other Exceptional Lie Algebras -- |g 23. |t Complex Lie Groups; Characters -- |g 24. |t Weyl Character Formula -- |g 25. |t More Character Formulas -- |g 26. |t Real Lie Algebras and Lie Groups. |
| 520 | |a "The primary goal of these lectures is to introduce a beginner to the finite-dimensional representations of Lie groups and Lie algebras. Intended to serve non-specialists, the concentration of the text is on examples. The general theory is developed sparingly, and then mainly as useful and unifying language to describe phenomena already encountered in concrete cases. The book begins with a brief tour through representation theory of finite groups, with emphasis determined by what is useful for Lie groups. The focus then turns to Lie groups and Lie algebras and finally to the heart of the course: working out the finite dimensional representations of the classical groups. The goal of the last portion of the book is to make a bridge between the example-oriented approach of the earlier parts and the general theory."--Publisher description. | ||
| 588 | |a Machine converted from AACR2 source record. | ||
| 650 | 0 | |a Representations of groups |9 333564 | |
| 650 | 0 | |a Representations of algebras |9 336721 | |
| 650 | 0 | |a Lie groups |9 329906 | |
| 650 | 0 | |a Lie algebras |9 335723 | |
| 700 | 1 | |a Harris, Joe, |d 1951- |e author. |9 273888 | |
| 830 | 0 | |a Graduate texts in mathematics ; |v 129. |9 1046763 | |
| 907 | |a .b11934943 |b 26-03-18 |c 27-10-15 | ||
| 942 | |c B | ||
| 945 | |a 512.2 FUL |g 1 |i A502100B |j 0 |l cmain |o - |p $81.09 |q - |r - |s - |t 0 |u 3 |v 0 |w 0 |x 3 |y .i13127561 |z 29-10-15 | ||
| 952 | |0 0 |1 0 |4 0 |6 512_200000000000000_FUL |7 0 |9 340345 |a C |b C |c cmain |d 2015-10-29 |g 81.09 |i i13127561 |l 3 |m 0 |o 512.2 FUL |p A502100B |r 2019-07-23 00:00:00 |s 2019-06-11 |t 1 |v 81.09 |w 2021-10-31 |y B | ||
| 998 | |a b |a c |b 20-03-18 |c m |d a |e - |f eng |g nyu |h 0 | ||
| 999 | |c 1221229 |d 1221229 | ||