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Semisimple symmetric spaces without compact manifolds locally modelled thereon.
- Source :
-
Proceedings of the Japan Academy, Series A: Mathematical Sciences . Feb2015, Vol. 91 Issue 2, p29-33. 5p. - Publication Year :
- 2015
-
Abstract
- Let G be a real reductive Lie group and H a closed subgroup of G which is reductive in G. In our earlier work it was shown that, if the homomorphism i : H·(gC; hC;C) → H·(gC; (kH)C;C) is not injective, there does not exist a compact manifold locally modelled on G/H. In this paper, we give a classification of the semisimple symmetric spaces G/H for which i is not injective. We also study the case when G cannot be realised as a linear group. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03862194
- Volume :
- 91
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Proceedings of the Japan Academy, Series A: Mathematical Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 101008197
- Full Text :
- https://doi.org/10.3792/pjaa.91.29