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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 as in quantum chemistry or physics. The examples in this part are chosen from those useful to chemists. The second part is a course given in 1966 to second-year students of l'Ecole Normale. It completes in a certain sense the first part. The third part is an introduction to Brauer Theory. Several Applications to the Artin representation are given
eBook, English, 1977
Springer New York, New York, NY, 1977
1 online resource (x, 188 pages)
9781468494587, 1468494589
853264255
Print version:
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
English