Representations of currents taking values in $PGL(2, Q_q)$
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916166724747264 |
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| author | Kuhn, Maria Gabriella |
| author_facet | Kuhn, Maria Gabriella |
| contents | Let $G=PGL(2,Q_q)$. In this paper we shall investigate the group of measurable currents taking values in $G$. The key observation is that $G$ is acting by automorphisms on a homogeneous tree, which will play the role of the upper half plane in the case of $PSL(2,R)$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2403_12956 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Representations of currents taking values in $PGL(2, Q_q)$ Kuhn, Maria Gabriella Representation Theory Primary: 43A35, 22E41. Secondary: 22E45, 22F50, 81R10 Let $G=PGL(2,Q_q)$. In this paper we shall investigate the group of measurable currents taking values in $G$. The key observation is that $G$ is acting by automorphisms on a homogeneous tree, which will play the role of the upper half plane in the case of $PSL(2,R)$. |
| title | Representations of currents taking values in $PGL(2, Q_q)$ |
| topic | Representation Theory Primary: 43A35, 22E41. Secondary: 22E45, 22F50, 81R10 |
| url | https://arxiv.org/abs/2403.12956 |