Geodesic
A Characteristic-Index Inequality for Closed Embeddings of Locally Compact Groups
Alexandru Chirvasitu1
1Dept. of Mathematics, University at Buffalo, New York, U.S.A.
Journal of Lie Theory, Tome 32 (2022) no. 3, pp. 697-708

Voir la notice de l'article provenant de la source Heldermann Verlag

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

Alexandru Chirvasitu  1

1 Dept. of Mathematics, University at Buffalo, New York, U.S.A. 
Alexandru 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/JOLT_2022_32_3_a3/
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     author = {Alexandru 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/JOLT_2022_32_3_a3/}
}
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