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Herausgeber: 
  • Ibrahim Assem
  • Sonia Trepode
  • Homological Methods, Representation Theory, and Cluster Algebras 
     

    (Buch)
    Dieser Artikel gilt, aufgrund seiner Grösse, beim Versand als 3 Artikel!


    Übersicht
     
    Lieferstatus:   Vorankündigung
    Veröffentlichung:  ANGEKÜNDIGT (Mai 2018)  
    Genre:  Schulbücher 
    ISBN:  9783319745848 
    EAN-Code: 
    9783319745848 
    Verlag:  Springer-Verlag GmbH 
    Einband:  Gebunden  
    Sprache:  English  
    Dimensionen:  H 241 mm / B 159 mm / D 20 mm 
    Gewicht:  517 gr 
    Seiten:  223 
    Illustration:  27 schwarz-weiße und 13 farbige Abbildungen, 13 farbige Tabellen, Bibliographie 
    Zus. Info:  Book 
    Bewertung: Keine Bewertung vor Veröffentlichung möglich.
    Inhalt:
    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 algebra Introduction to the representation theory of algebras Auslander-Reiten theory for algebras of infinite representation type Cluster algebras arising from surfaces Cluster tilted algebras Cluster characters Introduction to K-theory Brauer graph algebras and applications to cluster algebras

      



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