The Hall algebra and the composition monoid / Stefan Wolf. 2009
Content
- Introduction
- Preliminaries
- Quivers, Path Algebras and Root Systems
- Representations of Quivers
- Reflection Functors
- Dynkin and Extended Dynkin Quivers
- Canonical Decomposition
- Degenerations
- Segre Classes
- Ringel-Hall Algebra
- Generic Composition Algebra
- Generic Extension Monoid
- Quiver Flags and Quiver Grassmannians
- Main Theorems
- Cyclic Quiver Case
- Composition Monoid
- Geometry of Quiver Flag Varieties
- Reflections on Quiver Flags
- Extended Dynkin Case
- Fitting Ideals
- Tensor Algebras
- Bibliography
- Index