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Homological methods, representation ...

Assem, Ibrahim.

Homological methods, representation theory, and cluster algebras

Record Type:	Electronic resources : Monograph/item
Title/Author:	Homological methods, representation theory, and cluster algebrasedited by Ibrahim Assem, Sonia Trepode.
other author:	Assem, Ibrahim.
Published:	Cham :Springer International Publishing :2018.
Description:	xi, 223 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Algebra, Homological.
Online resource:	http://dx.doi.org/10.1007/978-3-319-74585-5
ISBN:	9783319745855$q(electronic bk.)

Homological methods, representation theory, and cluster algebras
Homological methods, representation theory, and cluster algebras[electronic resource] /edited by Ibrahim Assem, Sonia Trepode. - Cham :Springer International Publishing :2018. - xi, 223 p. :ill., digital ;24 cm. - CRM short courses,2522-5200. - CRM short courses..

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 (Centre International de Mathematiques Pures et Appliquees) research school held at the Universidad Nacional de Mar del Plata, Argentina. This research school was dedicated to the founder of the Argentinian research group in representation theory, M.I. Platzeck.

ISBN: 9783319745855$q(electronic bk.)

Standard No.: 10.1007/978-3-319-74585-5doiSubjects--Topical Terms:

275748
Algebra, Homological.

LC Class. No.: QA169

Dewey Class. No.: 512.64

Homological methods, representation theory, and cluster algebras
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520 $a 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 (Centre International de Mathematiques Pures et Appliquees) research school held at the Universidad Nacional de Mar del Plata, Argentina. This research school was dedicated to the founder of the Argentinian research group in representation theory, M.I. Platzeck.
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