Linear Representations of Finite Groups /
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. This is a fundamental result of constant use in mathematics as well...
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| Format: | eBook |
| Language: | English |
| Published: |
New York, NY :
Springer New York,
1977.
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| Series: | Graduate texts in mathematics ;
42. |
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| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- Representations and Characters: Generalities on linear representations. Character theory. Subgroups, products, induced representation. Compact groups. Examples
- Representations in Characteristic Zero: The group algebra. Induced representations; Mackey's criterion. Examples of induced representations. Artin's theorem. A theorem of Brauer. Applications of Brauer's theorem. Rationality question. Rationality questions: examples
- Introduction to Brauer Theory: The groups RK(G), Rk(G), and Pk((G). The cde triangle. Theorems. Proofs. Modular characters. Application to Artin representations.