On the rate of exponential decay of coefficients on homogeneous spaces
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866917116891889664 |
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| author | Benoist, Yves Liang, Siwei |
| author_facet | Benoist, Yves Liang, Siwei |
| contents | For any homogeneous space of a noncompact semisimple Lie group $G$, we define an exponent with multiple interpretations from representation theory and group theory. As an application, we give a temperedness criterion for $L^2 (G/H)$ for any closed subgroup $H$ of $G$, which extends the existing ones of Benoist--Kobayashi for connected subgroups and Lutsko--Weich--Wolf for discrete subgroups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_02469 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the rate of exponential decay of coefficients on homogeneous spaces Benoist, Yves Liang, Siwei Group Theory Representation Theory For any homogeneous space of a noncompact semisimple Lie group $G$, we define an exponent with multiple interpretations from representation theory and group theory. As an application, we give a temperedness criterion for $L^2 (G/H)$ for any closed subgroup $H$ of $G$, which extends the existing ones of Benoist--Kobayashi for connected subgroups and Lutsko--Weich--Wolf for discrete subgroups. |
| title | On the rate of exponential decay of coefficients on homogeneous spaces |
| topic | Group Theory Representation Theory |
| url | https://arxiv.org/abs/2507.02469 |