### Citations

641 | Representation theory of Artin algebras - Auslander, Reiten, et al. - 1995 |

213 |
The Grothendieck duality theorem via Bousfield’s techniques and Brown representability
- Neeman
- 1996
(Show Context)
Citation Context ...e category is a triangulated category [5]. It is compactly generated by the class of finitely generated modules, and hence amenable to methods such as Brown Representability and Thomason Localization =-=[10]-=-. This was used to great effect in Rickard’s classical work [11] which introduced so-called idempotent modules; these have played a key role in group representation theory ever since. Let H be a subgr... |

187 | P.: Axiomatic stable homotopy theory - Hovey, Palmieri, et al. - 1997 |

112 |
The connection between the K-theory localization theorem of Thomason, Trobaugh and Yao and the smashing subcategories of Bousfield and
- Neeman
- 1992
(Show Context)
Citation Context ...rs of TateH(kG) would come by taking a set of compact generators of K(H-Proj) and applying the left adjoint to the inclusion of TateH(kG) into K(H-Proj). This left adjoint is constructed by Neeman in =-=[9]-=-, but the construction is infinite and does not obviously lend itself to concrete computations. It would be interesting to find a procedure whereby a set of compact generators of StModH(kG) could be c... |

41 |
Idempotent modules in the stable category
- Rickard
- 1997
(Show Context)
Citation Context ...ated by the class of finitely generated modules, and hence amenable to methods such as Brown Representability and Thomason Localization [10]. This was used to great effect in Rickard’s classical work =-=[11]-=- which introduced so-called idempotent modules; these have played a key role in group representation theory ever since. Let H be a subgroup of G. In their paper [4], Carlson, Peng, and Wheeler conside... |

38 | Acyclicity versus total acyclicity for complexes over Noetherian rings, - Iyengar, Krause - 2006 |

26 |
On the derived category of a finite dimensional algebra
- Happel
- 1987
(Show Context)
Citation Context ... kG the group algebra of G. The stable module category StMod(kG) is defined as Mod(kG) modulo morphisms which factor through a projective module. The stable module category is a triangulated category =-=[5]-=-. It is compactly generated by the class of finitely generated modules, and hence amenable to methods such as Brown Representability and Thomason Localization [10]. This was used to great effect in Ri... |

19 | The homotopy category of complexes of projective modules, - Jørgensen - 2005 |

8 |
Transfer maps and virtual projectivity
- Carlson, Peng, et al.
- 1998
(Show Context)
Citation Context ...effect in Rickard’s classical work [11] which introduced so-called idempotent modules; these have played a key role in group representation theory ever since. Let H be a subgroup of G. In their paper =-=[4]-=-, Carlson, Peng, and Wheeler considered the H-projective kG-modules which are the direct summands of modules induced from kH to kG, and they defined the relative stable module category StModH(kG) as M... |

5 | Localization and duality in topology and modular representation theory - Benson, Greenlees - 2008 |