| 書(shū)目名稱(chēng) | Lectures on Functor Homology |
| 編輯 | Vincent Franjou,Antoine Touzé |
| 視頻video | http://file.papertrans.cn/584/583514/583514.mp4 |
| 概述 | Explores common structures in different fields of homological algebra: homology of classical groups, rational cohomology of algebraic groups, and algebraic topology.Serves as an introduction to homolo |
| 叢書(shū)名稱(chēng) | Progress in Mathematics |
| 圖書(shū)封面 |  |
| 描述 | .This book features a series of lectures that explores three different fields in which functor homology (short for homological algebra in functor categories) has recently played a significant role. For each of these applications, the functor viewpoint provides both essential insights and new methods for tackling difficult mathematical problems..In the lectures by Aurélien Djament, polynomial functors appear as coefficients in the homology of infinite families of classical groups, e.g. general linear groups or symplectic groups, and their stabilization. Djament’s theorem states that this stable homology can be computed using only the homology with trivial coefficients and the manageable functor homology. The series includes an intriguing development of Scorichenko’s unpublished results..The lectures by Wilberd van der Kallen lead to the solution of the general cohomological finite generation problem, extending Hilbert’s fourteenth problem and its solution to the context of cohomology. The focus here is on the cohomology of algebraic groups, or rational cohomology, and the coefficients are Friedlander and Suslin’s strict polynomial functors, a conceptual form of modules over the Schu |
| 出版日期 | Book 2015 |
| 關(guān)鍵詞 | category theory; functor homology; groups; representation theory; topological invariants |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-21305-7 |
| isbn_softcover | 978-3-319-79333-7 |
| isbn_ebook | 978-3-319-21305-7Series ISSN 0743-1643 Series E-ISSN 2296-505X |
| issn_series | 0743-1643 |
| copyright | Springer International Publishing Switzerland 2015 |
|Archiver|手機(jī)版|小黑屋|
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