Flores Galicia, Manuel: On Quasi-hereditary Structures. 2020
Inhalt
- Introduction
- Preliminaries
- General conventions
- Representation theory of algebras
- Quiver representations
- Poset theory
- Homological embeddings and homological ring epimorphisms
- Highest weight categories and quasi-hereditary algebras
- Highest weight categories
- Quasi-hereditary algebras
- The homological poset
- Quasi-hereditary structures
- The Auslander algebra of TEXT
- Basic properties of AusTn
- A basis of AusTn
- A basis of AusTne
- Block decomposition of AusTne
- Preprojective algebras of type An
- Blocks of AusTne
- Homological embeddings in modAusTn
- The homological poset of AusTn
- Homological Hasse quiver of AusTn
- Homological embeddings over AusTn and compositions
- Quasi-hereditary quotients of AusTn
- Blocks of Schur algebras of finite representation type
- Block decompositions of Bn and TBn
- Homological properties of TBn
- Homological poset of Bn
- Homological Hasse quiver of Bn
- Quasi-hereditary structures of path algebras of type An
- Bibliography
- Index