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Homological Methods, Representation Theory And Cluster Algebras hardcover english - 20th May 2018

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PublisherSpringer International Publishing AG
ISBN 139783319745848
ISBN 103319745840
Book DescriptionThis 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
About the AuthorIbrahim Assem is professor of mathematics at the University of Sherbrooke. Professor Assem's research interest is in representation theory. He is a member of the Research Group on Algebra Representation Theory from the combined institutions: University of Sherbrooke and Bishop's University
LanguageEnglish
AuthorIbrahim Assem
EditorSonia Tripode
Edition Number1
Publication Date20th May 2018
Number of Pages223

Homological Methods, Representation Theory And Cluster Algebras hardcover english - 20th May 2018

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