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Handbook of Tilting Theory

TaschenbuchKartoniert, Paperback
484 Seiten
Englisch
Cambridge University Presserschienen am28.02.2009
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.mehr
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TaschenbuchKartoniert, Paperback
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Produkt

KlappentextTilting 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.
Details
ISBN/GTIN978-0-521-68045-5
ProduktartTaschenbuch
EinbandartKartoniert, Paperback
Erscheinungsjahr2009
Erscheinungsdatum28.02.2009
Seiten484 Seiten
SpracheEnglisch
MasseBreite 152 mm, Höhe 229 mm, Dicke 28 mm
Gewicht779 g
Artikel-Nr.14221411

Inhalt/Kritik

Inhaltsverzeichnis
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.mehr

Autor

Henning Krause is a Professor of Mathematics at the University of Paderborn Dieter Happel is a Professor of Algebra in the Fakultat fur Mathematik at theTechnische Universitat Chemnitz Lidia Angeleri Hugel is a Professor at the Universita degli Studi dell'Insubria
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