Hitzelberger, Petra: Generalized affine buildings : automorphisms, affine Suzuki-Ree buildings and convexity. 2008
Inhalt
- Introduction
- Root systems, Weyl groups and lattices
- Buildings: The simplicial approach
- Kostant convexity
- The model space
- Generalized affine buildings
- Basic definitions and properties
- Local and global structure
- Trees: affine buildings of dimension one
- Automorphisms
- Buildings for the Ree and Suzuki groups
- Root data and valuations
- Ree and Suzuki groups
- Affine buildings for the Ree and Suzuki groups
- Proof of the main result
- Examples of invariant valuations
- Convexity revisited
- Proof of Theorem 5.40
- Dictionary
- Bibliography