| 书目名称 | Representations of Finite Groups: Local Cohomology and Support |
| 编辑 | David J. Benson,Srikanth Iyengar,Henning Krause |
| 视频video | |
| 概述 | Covers material not addressed anywhere else in book form.Gives an introduction to recent methods in representation theory of a fundamental nature that are likely to have a wide influence in neighborin |
| 丛书名称 | Oberwolfach Seminars |
| 图书封面 |  |
| 描述 | The seminar focuses on a recent solution, by the authors, of a long standing problem concerning the stable module category (of not necessarily finite dimensional representations) of a finite group. The proof draws on ideas from commutative algebra, cohomology of groups, and stable homotopy theory. The unifying theme is a notion of support which provides a geometric approach for studying various algebraic structures. The prototype for this has been Daniel Quillen’s description of the algebraic variety corresponding to the cohomology ring of a finite group, based on which Jon Carlson introduced support varieties for modular representations. This has made it possible to apply methods of algebraic geometry to obtain representation theoretic information. Their work has inspired the development of analogous theories in various contexts, notably modules over commutative complete intersection rings and over cocommutative Hopf algebras. One of the threads in this development has been the classification of thick or localizing subcategories of various triangulated categories of representations. This story started with Mike Hopkins’ classification of thick subcategories of the perfect complexe |
| 出版日期 | Textbook 2012 |
| 关键词 | Homological algebra and category theory; Homological methods for commutative rings; Homological method |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-0348-0260-4 |
| isbn_softcover | 978-3-0348-0259-8 |
| isbn_ebook | 978-3-0348-0260-4Series ISSN 1661-237X Series E-ISSN 2296-5041 |
| issn_series | 1661-237X |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
发表于 2025-3-21 17:16:59
