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Catalogue Information
Field name	Details
Dewey Class	512.6
Title	Homological Methods, Representation Theory, and Cluster Algebras ([EBook]) / edited by Ibrahim Assem, Sonia Trepode.
Added Personal Name	Assem, Ibrahim editor.
Added Personal Name	Trepode, Sonia editor.
Other name(s)	SpringerLink (Online service)
Publication	Cham : : Springer International Publishing : : Imprint: Springer, , 2018.
Physical Details	XI, 223 p. 41 illus. : online resource.
Series	CRM Short Courses 2522-5200
ISBN	9783319745855
Summary Note	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 Mathématiques Pures et Appliquées) 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.:
Contents note	Introduction to the Representation Theory of Finite-Dimensional Algebras: The Functorial Approach (M. I. Platzeck) -- Auslander–Reiten Theory for Finite-Dimensional Algebras (P. Malicki).- Cluster Algebras From Surfaces (R. Schiffler) -- Cluster Characters (P.-G. Plamondon) -- A Course on Cluster Tilted Algebras (I. Assem) -- Brauer Graph Algebras (S. Schroll). .
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-319-74585-5
Links to Related Works	Subject References: Category Theory, Homological Algebra . Category theory (Mathematics) . Combinatorics . Commutative algebra . Commutative rings . Commutative Rings and Algebras . Homological algebra . Mathematics . Authors: Assem, Ibrahim . Trepode, Sonia . Corporate Authors: SpringerLink (Online service) . Series: CRM Short Courses . Classification: 512.6 .

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Homological Methods, Representation Theory, and Cluster Algebras

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