书目名称 | Linear Representations of Finite Groups | 编辑 | Jean-Pierre Serre | 视频video | | 丛书名称 | Graduate Texts in Mathematics | 图书封面 |  | 描述 | 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 charac ters. 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 I‘Ecoie 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); (c) rationality questions (Chapters 12 and 13). The methods used are those of linear algebra (in a wider sense than in the first part): group algebras, modules, noncommutative tensor products, semisimple algebras. The third part is an introduction to Brauer theory: passage from characteristic 0 to characteristic p (and conversely). I have freely | 出版日期 | Textbook 1977 | 关键词 | Darstellung (Math; ); Endliche Gruppe; Finite; algebra; character theory; mathematics; proof; theorem | 版次 | 1 | doi | https://doi.org/10.1007/978-1-4684-9458-7 | isbn_softcover | 978-1-4684-9460-0 | isbn_ebook | 978-1-4684-9458-7Series ISSN 0072-5285 Series E-ISSN 2197-5612 | issn_series | 0072-5285 | copyright | Springer Science+Business Media New York 1977 |
The information of publication is updating
|
|