Eiriksson, Ögmundur: Quasi-hereditary algebras and the geometry of representations of algebras. 2018
Inhalt
- Introduction
- Preliminaries
- Additive categories
- Module categories
- Representations of quivers
- Algebraic group actions
- Quasi-hereditary algebras
- Tensor algebras
- Recollements of Auslander algebras
- Overview
- Submodule categories
- The Auslander algebra of self-injective algebras
- From submodule categories to representations of the stable Auslander algebra
- Auslander algebras of Nakayama algebras
- Quiver flag varieties
- Quiver-graded Richardson orbits
- Overview
- Quiver-graded Richardson orbits
- The nilpotent quiver algebra
- The nilpotent quiver algebra
- Tensor structures
- Monomorphism categories and the category N
- Ns(Q) as an endomorphism ring
- Quasi-hereditary structure of the nilpotent quiver algebra
- Examples
- Bibliography
- Index