Contractible Lie groups over local fields
✍ Scribed by Helge Glöckner
- Publisher
- Springer-Verlag
- Year
- 2008
- Tongue
- French
- Weight
- 278 KB
- Volume
- 260
- Category
- Article
- ISSN
- 0025-5874
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Let G be a general or special linear group over a local skew field. Then G is a Ž totally disconnected, locally compact group, to which G. Willis Math. Ann. 300, . 1994, 341᎐363 associates its scale function s : G ª .ގ We compute s on the subset of diagonalizable matrices. We also consider the pro
Suppose K is a field of characteristic two, G is a group of Lie type over K, and V is an irreducible KG-module. By the Steinberg Tensor Product Theorem, V ∼ = i∈I V i , where each V i is an algebraic conjugate of a restricted KG-module. If G contains a quadratically acting fours-group, then |I | 2.