Handbook of tilting theory / edited by Lidia Angeleri Hügel, Dieter Happel, Henning Krause.
| Call Number | 512/.46 |
| Title | Handbook of tilting theory / edited by Lidia Angeleri Hügel, Dieter Happel, Henning Krause. |
| Physical Description | 1 online resource (viii, 472 pages) : digital, PDF file(s). |
| Series | London Mathematical Society lecture note series ; 332 |
| Notes | Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
| 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. |
| Summary | 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. |
| Added Author | Angeleri Hügel, Lidia, editor. Happel, Dieter, 1953- editor. Krause, Henning, 1962- editor. |
| Subject | ASSOCIATIVE ALGEBRAS. REPRESENTATIONS OF ALGEBRAS. Dimension theory (Algebra) FINITE GROUPS. MODULES (ALGEBRA) |
| Multimedia |
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| Summary | 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. |
| Notes | Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
| 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. |
| Subject | ASSOCIATIVE ALGEBRAS. REPRESENTATIONS OF ALGEBRAS. Dimension theory (Algebra) FINITE GROUPS. MODULES (ALGEBRA) |
| Multimedia |