Higher Orbital Integrals on Motion Groups and Mackey Deformation
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_ | 1866912505884835840 |
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| author | Román, Angel Song, Yanli Tang, Xiang |
| author_facet | Román, Angel Song, Yanli Tang, Xiang |
| contents | We present an explicit construction of cyclic cocycles on Cartan motion groups, which can be viewed as generalizations of orbital integrals. We show that the higher orbital integral on a real reductive group associated with a semisimple element converges to the corresponding one on the associated Cartan motion group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_21008 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Higher Orbital Integrals on Motion Groups and Mackey Deformation Román, Angel Song, Yanli Tang, Xiang K-Theory and Homology We present an explicit construction of cyclic cocycles on Cartan motion groups, which can be viewed as generalizations of orbital integrals. We show that the higher orbital integral on a real reductive group associated with a semisimple element converges to the corresponding one on the associated Cartan motion group. |
| title | Higher Orbital Integrals on Motion Groups and Mackey Deformation |
| topic | K-Theory and Homology |
| url | https://arxiv.org/abs/2507.21008 |