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Trends in Representation Theory of Algebras and Related Topics
 
Trends in Representation Theory of Algebras and Related Topics
Softcover ISBN:  978-0-8218-3818-1
Product Code:  CONM/406
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-7996-2
Product Code:  CONM/406.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-3818-1
eBook: ISBN:  978-0-8218-7996-2
Product Code:  CONM/406.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Trends in Representation Theory of Algebras and Related Topics
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Trends in Representation Theory of Algebras and Related Topics
Softcover ISBN:  978-0-8218-3818-1
Product Code:  CONM/406
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-7996-2
Product Code:  CONM/406.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-3818-1
eBook ISBN:  978-0-8218-7996-2
Product Code:  CONM/406.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 4062006; 270 pp
    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
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 4062006; 270 pp
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 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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