| 书目名称 | Frobenius Categories versus Brauer Blocks | | 副标题 | The Grothendieck Gro | | 编辑 | Lluís Puig | | 视频video | | | 概述 | First book introducing the abstract setting of the Frobenius categories for the understanding of blocks of the finite groups.First text giving a reduction theorem allowing a proof of the Alperin’s Wei | | 丛书名称 | Progress in Mathematics | | 图书封面 |  | | 描述 | .This book contributes to important questions in the representation theory of finite groups over fields of positive characteristic — an area of research initiated by Richard Brauer sixty years ago with the introduction of the blocks of characters. On the one hand, it introduces and develops the abstract setting of the Frobenius categories — also called the Saturated fusion systems in the literature — created by the author fifteen years ago for a better understanding of what was loosely called the local theory of a finite group around a prime number p or, later, around a Brauer block, and for the purpose of an eventual classification — a reasonable concept of simple Frobenius category arises...On the other hand, the book develops this abstract setting in parallel with its application to the Brauer blocks, giving the detailed translation of any abstract concept in the particular context of the blocks. One of the new features in this direction is a framework for a deeper understanding of one of the central open problems in modular representation theory, known as Alperin’s Weight Conjecture (AWC). Actually, this new framework suggests a more general form of AWC, and a significant resul | | 出版日期 | Book 2009 | | 关键词 | Brauer blocks; DEX; Finite; Frobenius categories; Fusion; algebra; boundary element method; classification; | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-7643-9998-6 | | isbn_ebook | 978-3-7643-9998-6Series ISSN 0743-1643 Series E-ISSN 2296-505X | | issn_series | 0743-1643 | | copyright | Birkhäuser Basel 2009 |
The information of publication is updating
|
|
发表于 2025-3-21 16:59:02
