Continuity of locally bounded homomorphisms of connected Lie groups into Lie groups without nontrivial compact connected subgroups. (English) Zbl 07859266
Summary: We prove the automatic continuity of locally bounded homomorphisms of connected Lie groups into connected Lie groups without nontrivial compact connected subgroups.
MSC:
| 22A25 | Representations of general topological groups and semigroups |
| 22E25 | Nilpotent and solvable Lie groups |
| 22D12 | Other representations of locally compact groups |
| 22E15 | General properties and structure of real Lie groups |
