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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2505.06969 |
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| _version_ | 1866913831835402240 |
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| author | Dong, Chao-Ping Du, Chengyu Xu, Haojun |
| author_facet | Dong, Chao-Ping Du, Chengyu Xu, Haojun |
| contents | Let $G$ be a connected simple non-compact real reductive Lie group with a maximal compact subgroup $K$. This note aims to show that any non-decreasable $K$-type (in the sense of the first named author) is unitarily small (in the sense of Salamanca-Riba and Vogan). This answers Conjecture 2.1 of \cite{D} in the affirmative. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_06969 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-decreasable K-types are unitarily small Dong, Chao-Ping Du, Chengyu Xu, Haojun Representation Theory Let $G$ be a connected simple non-compact real reductive Lie group with a maximal compact subgroup $K$. This note aims to show that any non-decreasable $K$-type (in the sense of the first named author) is unitarily small (in the sense of Salamanca-Riba and Vogan). This answers Conjecture 2.1 of \cite{D} in the affirmative. |
| title | Non-decreasable K-types are unitarily small |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2505.06969 |