Trends in representation theory of algebras and related topics : Workshop on Representations of Algebras and Related Topics, August 11-14, 2004, Querétaro, México
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Bibliographic Information
Trends in representation theory of algebras and related topics : Workshop on Representations of Algebras and Related Topics, August 11-14, 2004, Querétaro, México
（Contemporary mathematics, 406）
American Mathematical Society, c2006
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Representations of algebra
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Includes bibliographical references
Description and Table of Contents
Description
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.
Table of Contents
Cluster-tilting theory by A. Bakke Buan and R. Marsh Introduction to moduli spaces associated to quivers (With an appendix by Lieven Le Bruyn and Markus Reineke) by C. Geiss From triangulated categories to Lie algebras: A theorem of Peng and Xiao by A. Hubery A-infinity algebras, modules and functor categories by B. Keller Rouquier's theorem on representation dimension by H. Krause and D. Kussin Foundation of the representation theory of Artin algebras, using the Gabriel-Roiter measure. by C. M. Ringel Categorification of $\mathfrak{sl}_2$ and braid groups by R. Rouquier Selfinjective algebras: Finite and tame type by A. Skowronski Support varieties for modules and complexes by O. Solberg.
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