找回密码
 To register

QQ登录

只需一步,快速开始

扫一扫,访问微社区

Titlebook: Homological Methods, Representation Theory, and Cluster Algebras; Ibrahim Assem,Sonia Trepode Textbook 2018 Springer International Publish

[复制链接]
查看: 28595|回复: 37
发表于 2025-3-21 19:14:07 | 显示全部楼层 |阅读模式
书目名称Homological Methods, Representation Theory, and Cluster Algebras
编辑Ibrahim Assem,Sonia Trepode
视频video
概述Underscores cluster algebras—one of the most important highlights of today‘s mathematical landscape.Addressed to graduate students, young researchers, and research mathematicians.Assumes minimal previ
丛书名称CRM Short Courses
图书封面Titlebook: Homological Methods, Representation Theory, and Cluster Algebras;  Ibrahim Assem,Sonia Trepode Textbook 2018 Springer International Publish
描述.This text presents six mini-courses, all devoted to interactions between representation theory of algebras, homological algebra, and the new ever-expanding theory of cluster algebras. The interplay between the topics discussed in this text will continue to grow and this collection of courses stands as a partial testimony to this new development. The courses are useful for any mathematician who would like to learn more about this rapidly developing field; the primary aim is to engage graduate students and young researchers. Prerequisites include knowledge of some noncommutative algebra or homological algebra. Homological algebra has always been considered as one of the main tools in the study of finite-dimensional algebras. The strong relationship with cluster algebras is more recent and has quickly established itself as one of the important highlights of today’s mathematical landscape. This connection has been fruitful to both areas—representation theory provides a categorification of cluster algebras, while the study of cluster algebras provides representation theory with new objects of study..The six mini-courses comprising this text were delivered March 7–18, 2016 at a CIMPA (C
出版日期Textbook 2018
关键词Brauer graph algebras; Auslander-Reiten translation; cluster algebras; K-theory; Quillen‘s Q-constructio
版次1
doihttps://doi.org/10.1007/978-3-319-74585-5
isbn_softcover978-3-030-09029-6
isbn_ebook978-3-319-74585-5Series ISSN 2522-5200 Series E-ISSN 2522-5219
issn_series 2522-5200
copyrightSpringer International Publishing AG, part of Springer Nature 2018
The information of publication is updating

书目名称Homological Methods, Representation Theory, and Cluster Algebras影响因子(影响力)




书目名称Homological Methods, Representation Theory, and Cluster Algebras影响因子(影响力)学科排名




书目名称Homological Methods, Representation Theory, and Cluster Algebras网络公开度




书目名称Homological Methods, Representation Theory, and Cluster Algebras网络公开度学科排名




书目名称Homological Methods, Representation Theory, and Cluster Algebras被引频次




书目名称Homological Methods, Representation Theory, and Cluster Algebras被引频次学科排名




书目名称Homological Methods, Representation Theory, and Cluster Algebras年度引用




书目名称Homological Methods, Representation Theory, and Cluster Algebras年度引用学科排名




书目名称Homological Methods, Representation Theory, and Cluster Algebras读者反馈




书目名称Homological Methods, Representation Theory, and Cluster Algebras读者反馈学科排名




单选投票, 共有 1 人参与投票
 

1票 100.00%

Perfect with Aesthetics

 

0票 0.00%

Better Implies Difficulty

 

0票 0.00%

Good and Satisfactory

 

0票 0.00%

Adverse Performance

 

0票 0.00%

Disdainful Garbage

您所在的用户组没有投票权限
发表于 2025-3-21 21:28:32 | 显示全部楼层
发表于 2025-3-22 01:04:24 | 显示全部楼层
Cluster Characters,cluster algebras became apparent in, for instance, (R. Marsh, M. Reineke and A. Zelevinsky (2003). Trans. Amer. Math. Soc. 355(10), 4171–4186.) [.], (A.B Buan, R. Marsh, M. Reineke, I. Reiten and G. Todorov (2006). Adv. Math. 204(2), 572–618.) [.], (P. Caldero and F. Chapoton (2006). Comment. Math. Helv. 81(3), 595–616.) [.].
发表于 2025-3-22 06:23:31 | 显示全部楼层
2522-5200 searchers, and research mathematicians.Assumes minimal previ.This text presents six mini-courses, all devoted to interactions between representation theory of algebras, homological algebra, and the new ever-expanding theory of cluster algebras. The interplay between the topics discussed in this text
发表于 2025-3-22 11:36:19 | 显示全部楼层
Brauer Graph Algebras,rived equivalences of Brauer graph algebras with derived equivalences of frozen Jacobian algebras is the topic of the next section. In the last section, after defining Green’s walk around the Brauer graph, a complete description of the Auslander Reiten quiver of a Brauer graph algebra is given.
发表于 2025-3-22 16:53:06 | 显示全部楼层
发表于 2025-3-22 18:06:42 | 显示全部楼层
发表于 2025-3-23 01:02:53 | 显示全部楼层
发表于 2025-3-23 05:22:53 | 显示全部楼层
Introduction to the Representation Theory of Finite-Dimensional Algebras: The Functorial Approach, 2016. The aim of this brief course is to give an introduction to the functorial approach to the representation theory of finite-dimensional algebras, developed by Maurice Auslander and Idun Reiten, and is strongly based on the work “A functorial approach to representation theory,” by M. Auslander (
发表于 2025-3-23 07:25:48 | 显示全部楼层
 关于派博传思  派博传思旗下网站  友情链接
派博传思介绍 公司地理位置 论文服务流程 影响因子官网 SITEMAP 大讲堂 北京大学 Oxford Uni. Harvard Uni.
发展历史沿革 期刊点评 投稿经验总结 SCIENCEGARD IMPACTFACTOR 派博系数 清华大学 Yale Uni. Stanford Uni.
|Archiver|手机版|小黑屋| 派博传思国际 ( 京公网安备110108008328) GMT+8, 2025-5-1 11:01
Copyright © 2001-2015 派博传思   京公网安备110108008328 版权所有 All rights reserved
快速回复 返回顶部 返回列表