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Representation theory of finite groups /
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York :
Academic Press,
�1965.
|
| Colección: | Academic paperbacks. Mathematics.
|
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; Representation Theory of Finite Groups; Copyright Page; Table of Contents; Chapter I. Foundations; 1. Introduction; 2. Group Characters; 3. Representation Modules; 4. Application of Ideas and Results from Group Theory; 5. The Regular Representation; Chapter II. Representation Theory of Rings with Identity; 6. Some Fundamental Lemmas; 7. The Principal Indecomposable Representations; 8. The Radical of a Ring; 9. Semisimple Rings; 10. The Wedderburn Structure Theorems for Semisimple Rings; 11. Intertwining Numbers.
- 12. Multiplicities of the Indecomposable Componentsin the Regular Representation13. The Generalized Burnside Theorem; Chapter III. The Representation Theory of Finite Groups; 14. The Group Algebra; 15. The Regular Representation of a Group; 16. Semisimplicity of the Group Algebra; 17. The Center of the Group Algebra; 18. The Number of Inequivalent Irreducible Representations; 19. Relations on the Irreducible Characters; 20. The Module of Characters over the Integers; 21. The Kronecker Product of Two Representations; 22. Linear Characters; 23. Induced Representations and Induced Characters.
- Chapter IV. Applications of the Theory of Characters24. Algebraic Numbers; 25. Some Results from the Theory of Characters; 26. Normal Subgroups and the Character Table; 27. Some Classical Theorems; Chapter V. The Construction of Irreducible Representations; 28. Primitive Idempotents; 29. Some examples of Group Representations; Chapter VI. Modular Representations; 30. General Remarks; 31. p-Regular Elements of a Finite Group; 32. Conditions for Two Representations to Have the Same Composition Factors; 33. The Brauer Characters; 34. Integral Representations.
- 35. Ordinary and Modular Representations of Algebras36. p-Adic Fields; 37. Algebras over a p-Aaic Field; 38. A Connection between the Intertwining Numbers; 39. Modular Representations of Groups; 40. Cartan Invariants and Decomposition Numbers; 41. Character Relations; 42. Modular Orthogonality Relations; Appendix; 1. Groups; 2. Rings, Ideals, and Fields; BIBLIOGRAPHY; SUBJECT INDEX.