Representations of Algebras : Proceedings of the Durham Symposium 1985
P. J. Webb
Bok Engelsk 1986 · Electronic books.
| Annen tittel | |
|---|---|
| Utgitt | Cambridge : : Cambridge University Press, , 1986.
|
| Omfang | 1 online resource (208 p.)
|
| Opplysninger | Description based upon print version of record.. - Cover; Title; copyright; Contents; Introduction; Representation theory of finite-dimensional algebras; LECTURE 1 : THE AUSLANDER-REITEN QUIVER; LECTURE 2 : SEPARATING SUBCATEGORIES: CONNECTING COMPONENTS AND SEPARATING TUBULAR FAMILIES; LECTURE 3 : REPETITIVE ALGEBRAS; References; A survey of existence theorems for almost split sequences; References; Representations of posets and tame matrix problems; 1. The theory of matrix problems can be considered in a natural; 2. Posets of finite type; 3. Tame schurian categories; Literature; Geometry of representations of quivers; INTRODUCTION. - 1. QUIVERS AND REPRESENTATIONS2. THE REPRESENTATION SPACE OF A QLIVER; 3. THE FUNDAMENTAL SET; 4. INDECOMPOSABLES AND ROOT SYSTEMS; 5. PROOF OF THE FUNDAMENTAL LEMMA; REFEBENCES; Cohen-Macaulay modules on hypersurface singularities; 1. SIMPLE HYPERSURFACE SINGULARITIES; 1.1 Notation; 1.2 Families of Hypersurface Singularities; 1.3 The Classification of Simple Singularities; 2. HYPERSURFACE SINGULARITIES OF DIMENSION ONE AND TWO; 2.1 Maximal Cohen-Macaulay Modules; 2.2 Group Representations; 2.3 Vectorbundles on the Desingularisation; 2.4 Simple Plane Curve Singularities. - 3. HYPERSURFACE SINGULARITIES OF FINITE COHEN-MACAULAY TYPE3.1 Matrix Factorisations; 3.2 Double branched Covers; 3.3 Constructing Families of MCM's; 4. Miscellaneous Remarks; REFERENCES; Almost split sequences and algebraic geometry; 1. Complete rational double points; 2. Protective curves; 3. Finite Cohen-Macaulay type; References; Representation rings of finite groups; Preface; FIRST LECTURE : Nilpotent elements in representation rings; 1. TENSOR PRODUCTS; 2. ALMOST SPLIT SEQUENCES; 3. NILPOTENT ELEMENTS IN A(G); 4. COHOMOLOGICAL CONSTRUCTION OF NILPOTENT ELEMENTS. - SECOND LECTURE : VARIETIES FOR MODULES : A SAMPLE CALCULATION1. Definitions and basic properties; 2. Cohomology of the dihedral two-groups; 3. MODULES FOR THE DIHEDRAL TWO-GROUPS; 4. THE VARIETIES FOR THE INDECOMPOSABLE kD2n -MODULES; REFERENCES. - The latest developments in representation theory with emphasis on the representation type of finite-dimensional algebras.
|
| Emner | |
| Sjanger | |
| Dewey | |
| ISBN | 0521312884
|
