Linear representations of finite groups

Jean-Pierre Serre ; translated from the French by Leonard L. Scott

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 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.

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[目次]

  • 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.

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この本の情報

書名 Linear representations of finite groups
著作者等 Scott, L. L.
Serre, Jean Pierre
Serre Jean-Pierre
書名別名 Représentations linéaires des groupes finis
シリーズ名 Graduate texts in mathematics
出版元 Springer-Verlag
刊行年月 c1977
版表示 1st ed. 1977. Corr. 5th printing 1996
ページ数 x, 170 p.
大きさ 24 cm
ISBN 3540901906
0387901906
NCID BA04200912
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言語 英語
原文言語 フランス語
出版国 アメリカ合衆国
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