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Part 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.
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| $99.99 | Digital |
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Mike Hanley
reviewed Linear Representations Of Finite Groups, Vol. 42 on June 09, 2019
Linear Representations Of Finite Groups
An absolutely essential book for representation theory. Well translated etc, the only thing I would say is a fair few of the proofs are needlessly complicated. For instance, I remember early on a proof where we have to prove something for all finite dimensional vector spaces, which one would naturally do by induction starting from a line and working upwards. However, Serre insists on this very obtuse proof in strong induction, starting from the 0 vector space? Very weird.
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Add Linear Representations Of Finite Groups, Vol. 42, This book consists of three parts, rather different in level and purpose. The first part was originally written for quantum chemists. It describes the correspondence, due to Frobenius, between linear representations and characters. The second part is a co, Linear Representations Of Finite Groups, Vol. 42 to the inventory that you are selling on WonderClubX
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Add Linear Representations Of Finite Groups, Vol. 42, This book consists of three parts, rather different in level and purpose. The first part was originally written for quantum chemists. It describes the correspondence, due to Frobenius, between linear representations and characters. The second part is a co, Linear Representations Of Finite Groups, Vol. 42 to your collection on WonderClub |
