Research Catalog

Handbook of tilting theory

Title
Handbook of tilting theory / edited by Lidia Angeleri Hügel, Dieter Happel, Henning Krause.
Publication
Cambridge, UK ; New York : Cambridge University Press, 2007.
Supplementary Content
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Additional Authors
  • Angeleri Hügel, Lidia.
  • Happel, Dieter, 1953-
  • Krause, Henning, 1962-
Description
viii, 472 pages : illustrations; 23 cm.
Series Statement
London Mathematical Society lecture note series ; 332
Uniform Title
London Mathematical Society lecture note series ; 332.
Alternative Title
Tilting theory
Subject
  • Associative algebras
  • Representations of algebras
  • Dimension theory (Algebra)
  • Finite groups
  • Modules (Algebra)
  • Álgebra
  • Teoria das representações
  • Kategorientheorie
Bibliography (note)
  • Includes bibliographical references.
Contents
Classification of representation-finite algebras and their modules / T. Brüstle -- A spectral sequence analysis of classical tilting functors / S. Brenner and M.C.R. Butler -- Derived categories and tilting / B. Keller -- Hereditary categories / H. Lenzing -- Fourier-Mukai transforms / L. Hille and M. Van den Bergh -- Tilting theory and homologically finite subcategories with applications to quasihereditary algebras / I. Reiten -- Tilting modules for algebraic groups and finite dimensional algebras / S. Donkin -- Combinatorial aspects of the set of tilting modules / L. Unger -- Infinite dimensional tilting modules and cotorsion pairs / J. Trlifaj -- Infinite dimensional tilting modules over finite dimensional algebras / Ø. Solberg -- Cotilting dualities / R. Colpi and K.R. Fuller -- Representations of finite groups and tilting / J. Chuang and J. Rickard -- Morita theory in stable homotopy theory / B. Shipley -- Some remarks concerning tilting modules and tilted algebras, origin, relevance, future / C.M. Ringel.
ISBN
  • 052168045X
  • 9780521680455
LCCN
2007275607
OCLC
  • ocm84910946
  • 84910946
  • SCSB-5309029
Owning Institutions
Columbia University Libraries