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Trends in Representation Theory of Algebras and Related Topics
 
Front Cover for Trends in Representation Theory of Algebras and Related Topics
Available Formats:
Softcover ISBN: 978-0-8218-3818-1
Product Code: CONM/406
270 pp 
List Price: $92.00
MAA Member Price: $82.80
AMS Member Price: $73.60
Electronic ISBN: 978-0-8218-7996-2
Product Code: CONM/406.E
270 pp 
List Price: $86.00
MAA Member Price: $77.40
AMS Member Price: $68.80
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Trends in Representation Theory of Algebras and Related Topics
Available Formats:
Softcover ISBN:  978-0-8218-3818-1
Product Code:  CONM/406
270 pp 
List Price: $92.00
MAA Member Price: $82.80
AMS Member Price: $73.60
Electronic ISBN:  978-0-8218-7996-2
Product Code:  CONM/406.E
270 pp 
List Price: $86.00
MAA Member Price: $77.40
AMS Member Price: $68.80
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $138.00
MAA Member Price: $124.20
AMS Member Price: $110.40
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 4062006
    MSC: Primary 16; 18;

    This book is based on lectures given during a Workshop on Representations of Algebras and Related Topics. Some additional articles are included in order to complete a panoramic view of the main trends of the subject. The volume contains original presentations by leading algebraists addressed to specialists as well as to a broader mathematical audience. The articles include new proofs, examples, and detailed arguments. Topics under discussion include moduli spaces associated to quivers, canonical basis of quantum algebras, categorifications and derived categories, \(A\)-infinity algebras and functor categories, cluster algebras, support varieties for modules and complexes, the Gabriel–Roiter measure for modules, and selfinjective algebras.

    Readership

    Graduate students and research mathematicians interested in representation theory.

  • Table of Contents
     
     
    • Articles
    • Aslak Bakke Buan and Robert Marsh - Cluster-tilting theory [ MR 2258039 ]
    • Christof Geiß - Introduction to moduli spaces associated to quivers (with an appendix by Lieven Le Bruyn and Markus Reineke) [ MR 2258040 ]
    • Andrew Hubery - From triangulated categories to Lie algebras: a theorem of Peng and Xiao [ MR 2258041 ]
    • Bernhard Keller - $A$-infinity algebras, modules and functor categories [ MR 2258042 ]
    • Henning Krause and Dirk Kussin - Rouquier’s theorem on representation dimension [ MR 2258043 ]
    • Claus Michael Ringel - Foundation of the representation theory of Artin algebras, using the Gabriel-Roiter measure [ MR 2258044 ]
    • Raphaël Rouquier - Categorification of $\mathfrak {sl}_2$ and braid groups [ MR 2258045 ]
    • Andrzej Skowroński - Selfinjective algebras: finite and tame type [ MR 2258046 ]
    • Øyvind Solberg - Support varieties for modules and complexes [ MR 2258047 ]
  • Additional Material
     
     
  • Request Review Copy
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Volume: 4062006
MSC: Primary 16; 18;

This book is based on lectures given during a Workshop on Representations of Algebras and Related Topics. Some additional articles are included in order to complete a panoramic view of the main trends of the subject. The volume contains original presentations by leading algebraists addressed to specialists as well as to a broader mathematical audience. The articles include new proofs, examples, and detailed arguments. Topics under discussion include moduli spaces associated to quivers, canonical basis of quantum algebras, categorifications and derived categories, \(A\)-infinity algebras and functor categories, cluster algebras, support varieties for modules and complexes, the Gabriel–Roiter measure for modules, and selfinjective algebras.

Readership

Graduate students and research mathematicians interested in representation theory.

  • Articles
  • Aslak Bakke Buan and Robert Marsh - Cluster-tilting theory [ MR 2258039 ]
  • Christof Geiß - Introduction to moduli spaces associated to quivers (with an appendix by Lieven Le Bruyn and Markus Reineke) [ MR 2258040 ]
  • Andrew Hubery - From triangulated categories to Lie algebras: a theorem of Peng and Xiao [ MR 2258041 ]
  • Bernhard Keller - $A$-infinity algebras, modules and functor categories [ MR 2258042 ]
  • Henning Krause and Dirk Kussin - Rouquier’s theorem on representation dimension [ MR 2258043 ]
  • Claus Michael Ringel - Foundation of the representation theory of Artin algebras, using the Gabriel-Roiter measure [ MR 2258044 ]
  • Raphaël Rouquier - Categorification of $\mathfrak {sl}_2$ and braid groups [ MR 2258045 ]
  • Andrzej Skowroński - Selfinjective algebras: finite and tame type [ MR 2258046 ]
  • Øyvind Solberg - Support varieties for modules and complexes [ MR 2258047 ]
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