Geodesic
A Characteristic-Index Inequality for Closed Embeddings of Locally Compact Groups
Journal of Lie theory, Tome 32 (2022) no. 3, pp. 697-708
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The characteristic index of a locally compact connected group $G$ is the non-negative integer $d$ for which we have a homeomorphism $G\cong K\times \mathbb{R}^d$ with $K$ maximal compact in $G$. We prove that the characteristic indices of closed connected subgroups are dominated by those of the ambient groups.
Classification : 22D05, 22E15, 22E60, 57T15, 55T10
Mots-clés : Lie group, locally compact group, characteristic index, dense embedding, Lie algebra, homology, fibration, spectral sequence 
@article{JLT_2022_32_3_JLT_2022_32_3_a3,
     author = {A. Chirvasitu},
     title = {A {Characteristic-Index} {Inequality} for {Closed} {Embeddings} of {Locally} {Compact} {Groups}},
     journal = {Journal of Lie theory},
     pages = {697--708},
     year = {2022},
     volume = {32},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JLT_2022_32_3_JLT_2022_32_3_a3/}
}
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A. Chirvasitu. A Characteristic-Index Inequality for Closed Embeddings of Locally Compact Groups. Journal of Lie theory, Tome 32 (2022) no. 3, pp. 697-708. http://geodesic.mathdoc.fr/item/JLT_2022_32_3_JLT_2022_32_3_a3/