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Handbook of Tilting Theory

Lidia Angeleri Hügel, Dieter Happel, and Henning Krause, editors
Publisher: 
Cambridge University Press
Publication Date: 
2007
Number of Pages: 
472
Format: 
Paperback
Series: 
London Mathematical Society Lecture Note Series 332
Price: 
89.00
ISBN: 
9780521680455
Category: 
Collection
We do not plan to review this book.

1. Introduction; 2. Basic results of classic tilting theory L. Angeleri Hügel, D. Happel and H. Krause; 3. Classification of representation-finite algebras and their modules T. Brüstle; 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 Ø. 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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