| 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 |
| 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 |
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Book DetailsContemporary MathematicsVolume: 406; 2006; 270 ppMSC: 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.
ReadershipGraduate students and research mathematicians interested in representation theory.
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Table of Contents
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Articles
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Aslak Bakke Buan and Robert Marsh — Cluster-tilting theory [ MR 2258039 ]
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Christof Geiß — Introduction to moduli spaces associated to quivers (with an appendix by Lieven Le Bruyn and Markus Reineke) [ MR 2258040 ]
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Andrew Hubery — From triangulated categories to Lie algebras: a theorem of Peng and Xiao [ MR 2258041 ]
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Bernhard Keller — $A$-infinity algebras, modules and functor categories [ MR 2258042 ]
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Henning Krause and Dirk Kussin — Rouquier’s theorem on representation dimension [ MR 2258043 ]
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Claus Michael Ringel — Foundation of the representation theory of Artin algebras, using the Gabriel-Roiter measure [ MR 2258044 ]
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Raphaël Rouquier — Categorification of $\mathfrak {sl}_2$ and braid groups [ MR 2258045 ]
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Andrzej Skowroński — Selfinjective algebras: finite and tame type [ MR 2258046 ]
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Øyvind Solberg — Support varieties for modules and complexes [ MR 2258047 ]
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Additional Material
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
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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 ]
