Homomorphic images of algebraic groups. (English) Zbl 07877988
The authors study topological group theoretic properties of algebraic groups over local fields, including the study of groups of this kind that are minimal (i.e., admit no weaker (Hausdorff) group topology). In particular, the authors found conditions under which these groups are scaled (i.e., have closed images under arbitrary continuous homomorphisms into arbitrary Hausdorff topological groups).
Reviewer: Alexander Isaakovich Shtern (Moskva)
MSC:
| 20G25 | Linear algebraic groups over local fields and their integers |
| 22E50 | Representations of Lie and linear algebraic groups over local fields |
| 22A10 | Analysis on general topological groups |
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