Linear representations of finite groups
Linear representations of finite groups
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DOI：
10.1007/978-1-4684-9458-7
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发表时间：
1977
期刊：
影响因子：
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通讯作者：
Jean-Pierre Serre
中科院分区：
文献类型：
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作者：
Jean-Pierre Serre
第一部分最初是为量子化学家写的。它描述的对应关系，由于弗罗贝纽斯，线性表示和字符之间。这是一个基本的结果，在数学以及量子化学或物理学中经常使用。我已经试图证明尽可能小学，只使用定义的一组和基本的线性代数。第五章的例子是从对化学家有用的例子中挑选出来的。第二部分是1966年为化学系二年级学生开设的一门课程。诺梅尔学校它在以下几点上完成了第一部分：（a）表示的度和特征标的完整性性质（第6章）;（B）诱导表示、Artin和Brauer定理及其应用（第7-11章）;
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. I have tried to give proofs as elementary as possible, using only the definition of a group and the rudiments of linear algebra. The examples (Chapter 5) have been chosen from those useful to chemists.The second part is a course given in 1966 to second-year students of!'Ecole Normale. It completes the first on the following points:(a) degrees of representations and integrality properties of characters (Chapter 6);(b) induced representations, theorems of Artin and Brauer, and applications (Chapters 7-11);