Abstract
The characteristic index of a locally compact connected group G is the non-negative integer d for which we have a homeomorphism G ≅ K × Rd with K maximal compact in G. We prove that the characteristic indices of closed connected subgroups are dominated by those of the ambient groups.
| Original language | English |
|---|---|
| Pages (from-to) | 697-708 |
| Number of pages | 12 |
| Journal | Journal of Lie Theory |
| Volume | 32 |
| Issue number | 3 |
| State | Published - 2022 |
Keywords
- characteristic index
- dense embedding
- fibration
- homology
- Lie algebra
- Lie group
- locally compact group
- spectral sequence.
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