Zhe, Han: The homotopy categories of injective modules of derived discrete algebras. 2013
Inhalt
- Abstract
- Acknowledgment
- Introduction
- General overview
- The homotopy categories of injective modules over algebras
- Derived discrete algebras
- Purity of triangulated categories
- Main results
- Structure of the thesis
- Background and foundations
- Representations of quivers
- Gentle algebras
- Triangulated categories in representation theory
- Compactly generated triangulated categories
- Repetitive algebras
- Generic objects in derived categories
- Functor categories
- Purity of triangulated categories
- Generically trivial derived categories
- Generic objects in K(InjA)
- The category K(InjA) of a derived discrete algebra A
- Radical square zero algebras
- Indecomposable objects of K(Injk[x]/(x2))
- The category K(InjA) of a radical square zero self-injective algebra A
- The Ziegler spectrum of K(InjA)
- Covering theory and group graded algebras
- Triangulated categories
- Bibliography