最 低 价：￥644.00
定 价：￥805.00
作 者：LidiaAngeleriHügel，DieterHappel，HenningKrause 著 著
出版时间：2007-1-1
I S B N：9780521680455
| 1 Introduction 2 Basic results of classical tilting theory L. Angeleri Hiigel, D. Happel, and H. Krause REFERENCES 3 Classification of representation-finite algebras and their modules T. Bruistle 1 Introduction 2 Notation 3 Representation-finite algebras 4 Critical algebras 5 Tame algebras REFERENCES 4 A spectral sequence analysis of classical tilting func-tors S. Brenner and M. C. R. Butler 1 Introduction 2 Tilting modules 3 Tilting functors, spectral sequences and filtrations 4 Applications 5 Edge effects, and the case t=2 REFERENCES 5 Derived categories and tilting B. Keller 1 Introduction 2 Derived categories 3 Derived functors 4 Tilting and derived equivalences 5 Triangulated categories 6 Morita theory for derived categories 7 comparison of t-structures, spectral sequences 8 Algebraic triangulated categories and dg algebras REFERENCES 6 Hereditary categoriesH. Lenzing 1 Fundamental concepts 2 Examples of hereditary categories 3 Repetitive shape of the derived category 4 Perpendicular categories 5 Exceptional objects 6 Piecewise hereditary algebras and Happel's theorem 7 Derived equivalence of hereditary categories 8 Modules over hereditary algebras 9 Spectral properties of hereditary categories 10 Weighted projective lines 11 Quasitilted algebras REFERENCES 7 Fourier-Mukai transforms L. Hille and M. Van den Bergh 1 Some background 2 Notations and conventions 3 Basics on Fourier-Mukai transforms 4 The reconstruction theorem 5 Curves and surfaces 6 Threefolds and higher dimensional varieties 7 Non-commutative rings in algebraic geometry REFERENCES 8 Tilting theory and homologically finite subcategories with applications to quasihereditary algebras I. Reiten 1 The Basic Ingredients 2 The Correspondence Theorem 3 Quasihereditary algebras and their generalizations 4 Generalizations REFERENCES 9 Tilting modules for algebraic groups and finite dimensional algebras S.Donkin 10 Combinatorial aspects of the set of titling modules L.Unger 11 Infinete dimensional tilting modules and cotorsion pairs J.Trlifaj 12 Infinite dimensional titing modules over finite dimensional algebras ф.Solberg 13 Cotiting dualities R.Colpi and K.R.Fuller 14 Representations of finite groups and tilting J.Chuang and J.Rickard 15 Morita theory in stable homotopy theory B.Shipley Appendix Some remarks concerning tilting modules and tilted algebras. Origin.Relevance.Future C.M.Ringel |
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