Volume: 406; 2006; 270 pp; Softcover
MSC: Primary 16; 18;
Print ISBN: 978-0-8218-3818-1
Product Code: CONM/406
List Price: $92.00
AMS Member Price: $73.60
MAA Member Price: $82.80
Electronic ISBN: 978-0-8218-7996-2
Product Code: CONM/406.E
List Price: $86.00
AMS Member Price: $68.80
MAA Member Price: $77.40
Trends in Representation Theory of Algebras and Related Topics
Share this pageEdited by José A. de la Peña; Raymundo Bautista
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
Trends in Representation Theory of Algebras and Related Topics
- Contents v6 free
- Preface vii8 free
- Cluster-tilting theory 110 free
- Introduction to moduli spaces associated to quivers 3140
- From triangulated categories to Lie algebras: A theorem of Peng and Xiao 5160
- A-infinity algebras, modules and functor categories 6776
- Rouquier's theorem on representation dimension 95104
- Foundation of the representation theory of Artin algebras, using the Gabriel-Roiter measure 105114
- Categorification of sl2 and braid groups 137146
- Selfinjective algebras: Finite and tame type 169178
- Support varieties for modules and complexes 239248