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Trends in Representation Theory of Algebras and Related Topics

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Softcover ISBN: 978-0-8218-3818-1
Product Code: CONM/406
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 List Price:$86.00
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AMS Member Price: $110.40 Click above image for expanded view Trends in Representation Theory of Algebras and Related Topics Available Formats:  Softcover ISBN: 978-0-8218-3818-1 Product Code: CONM/406  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
 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; 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.

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 ]

• Requests

Review Copy – for reviewers who would like to review an AMS book
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.

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 reviewers who would like to review an AMS book
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Accessibility – to request an alternate format of an AMS title
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