000 | 00379nam a2200145Ia 4500 | ||
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999 |
_c170380 _d170380 |
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020 | _a9780387901909 | ||
040 | _cCUS | ||
082 |
_a512.2 _bSER/L |
||
100 | _aSerre, Jean-Pierre | ||
245 | 0 |
_aLinear representations of finite groups/ _cJean-Pierre Serre |
|
260 |
_aNew York: _bSpringer, _c1977. |
||
300 |
_ax, 170 p. ; _c24 cm. |
||
440 |
_a(Graduate texts in mathematics), _v42 |
||
505 | _aPart I: Representations and Characters; 1. Generalities on Linear Representation; 2. Character Theory; 3. Subgroups, products, induced representations; 4. Compact Groups; 5. Examples; Bibliography Part I; Part II: Representation in Characteristic Zero; 6. The Group Algebra; 7. Induced Representations- Mackey's Criterion; 8. Examples of Induced Representations; 9. Artin's Theorem; 10. A Theorem of Brauer; 11. Applications of Brauer's Theorem; 12. Rationality Questions; 13. Rationality Questions: Examples; Bibliography Part II; Part III: Introduction to Brauer Theory; 14. The Groups Rk(G), Rk(G) and Pk(G); 15. The cde Triangle; 16. Theorems; 17. Proofs; 18. Modular Characters; 19. Application to Artin Representations; Appendix; Bibliography part III; Index of Notation; Index of Terminology | ||
650 | _aRepresentations of groups | ||
650 | _aFinite groups | ||
650 | _aGroup theory | ||
650 | _aMathematics | ||
942 | _cWB16 |