Handbook of tilting theory
著者
書誌事項
Handbook of tilting theory
（London Mathematical Society lecture note series, 332）
Cambridge University Press, 2007
- : pbk
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注記
Includes bibliographies
内容説明・目次
内容説明
Tilting theory originates in the representation theory of finite dimensional algebras. Today the subject is of much interest in various areas of mathematics, such as finite and algebraic group theory, commutative and non-commutative algebraic geometry, and algebraic topology. The aim of this book is to present the basic concepts of tilting theory as well as the variety of applications. It contains a collection of key articles, which together form a handbook of the subject, and provide both an introduction and reference for newcomers and experts alike.
目次
- 1. Introduction
- 2. Basic results of classic tilting theory L. Angeleri Hugel, D. Happel and H. Krause
- 3. Classification of representation-finite algebras and their modules T. Brustle
- 4. A spectral sequence analysis of classical tilting functors S. Brenner and M. C. R. Butler
- 5. Derived categories and tilting B. Keller
- 6. Fourier-Mukai transforms L. Hille and M. Van den Bergh
- 7. Tilting theory and homologically finite subcategories with applications to quasihereditary algebras I. Reiten
- 8. Tilting modules for algebraic groups and finite dimensional algebras S. Donkin
- 9. Combinatorial aspects of the set of tilting modules L. Unger
- 10. Cotilting dualities R. Colpi and K. R. Fuller
- 11. Infinite dimensional tilting modules and cotorsion pairs J. Trlifaj
- 12. Infinite dimensional tilting modules over finite dimensional algebras O. Solberg
- 13. Representations of finite groups and tilting J. Chuang and J. Rickard
- 14. Morita theory in stable homotopy theory B. Shipley.
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