Homological Methods, Representation Theory, and Cluster Algebras

Lingua: inglese

Editore: Springer International Publishing AG, CH, 2018

3319745840 / 9783319745848

Serie: Libro 2 di 7 - CRM Short Courses

Da: Rarewaves.com USA, London, London, Regno UnitoRarewaves.com USA

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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.The courses held were:Advanced homological algebraIntroduction to the representation theory of algebrasAuslander-Reiten theory for algebras of infinite representation typeCluster algebras arising from surfacesCluster tilted algebrasCluster charactersIntroduction to K-theoryBrauer graph algebras and applications to cluster algebras.…

Codice articolo LU-9783319745848

Titolo
Homological Methods, Representation Theory, and Cluster Algebras
Autore
Sonia Trepode
Editore
Springer International Publishing AG, CH
Anno di pubblicazione
2018
Condizione
New
Rilegatura
Hardback
Lingua
inglese
ISBN 10
3319745840
ISBN 13
9783319745848
Edizione
1st ed. 2018.
Serie
Libro 2 di 7: CRM Short Courses

Rarewaves.com USA

London, London, Regno Unito

Venditore con 5 stelle

Venditore AbeBooks dal 11 giugno 2025

Tariffe di spedizione da Regno Unito a U.S.A.

ArticoloDa 7 a 12 giorni lavorativiDa 7 a 12 giorni lavorativi
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