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Linear representations of finite groups

Author: Jean Pierre Serre
Publisher: New York : Springer-Verlag, ©1977.
Series: Graduate texts in mathematics., 42.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
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Suitable for quantum chemists, this title describes the correspondence, due to Frobenius, between linear representations and characters.

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Document Type: Book
All Authors / Contributors: Jean Pierre Serre
ISBN: 0387901906 9780387901909
OCLC Number: 299416383
Notes: Traduction de Représentations linéaires des groupes finis, 2. éd.
Description: x, 170 p.
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.
Series Title: Graduate texts in mathematics., 42.
Responsibility: Jean-Pierre Serre ; translated from the French by Leonard L. Scott.
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From the reviews: "Serre's book gives a fine introduction to representations for various audiences ... As always with Serre, the exposition is clear and elegant, and the exercises contain a great Read more...

 
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