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

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發(fā)表于 2025-3-21 19:14:07 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Homological Methods, Representation Theory, and Cluster Algebras
編輯Ibrahim Assem,Sonia Trepode
視頻videohttp://file.papertrans.cn/429/428136/428136.mp4
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
叢書名稱CRM Short Courses
圖書封面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
關(guān)鍵詞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

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沙發(fā)
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板凳
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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.) [.].
地板
發(fā)表于 2025-3-22 06:23:31 | 只看該作者
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
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發(fā)表于 2025-3-22 11:36:19 | 只看該作者
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.
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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 (
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發(fā)表于 2025-3-23 07:25:48 | 只看該作者
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