Trends in representation theory of algebras and related topics : Workshop on Representations of Algebras and Related Topics, August 11-14, 2004, Querétaro, México

Author(s)

• Workshop on Representations of Algebras and Related Topics
• Peña, José Antonio de la
• Bautista, Raymundo
• American Mathematical Society

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

José A. de la Peña, Raymundo Bautista, editors

（Contemporary mathematics, 406）

American Mathematical Society, c2006

Other Title

Representations of algebra

Note

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.

by "Nielsen BookData"

• NCID: BA77684886
• ISBN:
  • 0821838180
• LCCN: 2006040706
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Providence, R.I.
• Pages/Volumes: vii, 270 p.
• Size: 26 cm
• Classification:
  • LCC : QA155
  • DC22 : 512
• Subject Headings:
  • LCSH : Representations of algebras -- Congresses
• Parent Bibliography ID:
  • BA00009927