Self-representations of the Moebius group
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2018
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| Subjects: | |
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| _version_ | 1866929525813673984 |
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| author | Monod, Nicolas Py, Pierre |
| author_facet | Monod, Nicolas Py, Pierre |
| contents | Contrary to the finite-dimensional case, the Moebius group admits interesting self-representations when infinite-dimensional. We construct and classify all these self-representations.
The proofs are obtained in the equivalent setting of isometries of Lobachevsky spaces and use kernels of hyperbolic type, in analogy to the classical concepts of kernels of positive and negative type. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1805_12479 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Self-representations of the Moebius group Monod, Nicolas Py, Pierre Group Theory Functional Analysis Metric Geometry Contrary to the finite-dimensional case, the Moebius group admits interesting self-representations when infinite-dimensional. We construct and classify all these self-representations. The proofs are obtained in the equivalent setting of isometries of Lobachevsky spaces and use kernels of hyperbolic type, in analogy to the classical concepts of kernels of positive and negative type. |
| title | Self-representations of the Moebius group |
| topic | Group Theory Functional Analysis Metric Geometry |
| url | https://arxiv.org/abs/1805.12479 |