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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2503.00554 |
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| _version_ | 1866909621759770624 |
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| author | Shen, Shu Song, Yanli Tang, Xiang |
| author_facet | Shen, Shu Song, Yanli Tang, Xiang |
| contents | Given a real reductive group $G$, the purpose of this paper is to show an asymptotic formula of the large-time behavior of the $G$-trace of the heat operator on the associated symmetric spaces. Together with Carmona's proof on Vogan's lambda map, our results provide a geometric counterpart of Vogan's minimal $K$-type theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_00554 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Heat kernel, large-time behavior, and representation theory Shen, Shu Song, Yanli Tang, Xiang Differential Geometry Representation Theory 58J20 Given a real reductive group $G$, the purpose of this paper is to show an asymptotic formula of the large-time behavior of the $G$-trace of the heat operator on the associated symmetric spaces. Together with Carmona's proof on Vogan's lambda map, our results provide a geometric counterpart of Vogan's minimal $K$-type theory. |
| title | Heat kernel, large-time behavior, and representation theory |
| topic | Differential Geometry Representation Theory 58J20 |
| url | https://arxiv.org/abs/2503.00554 |