Unitary representations attached to parabolic subgroups: the case of abelian unipotent radical
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917011038142464 |
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| author | Ciubotaru, Dan |
| author_facet | Ciubotaru, Dan |
| contents | We classify the unitary representations with integral infinitesimal character in Lusztig's category of unipotent representations in the case when the geometric parameter space comes from the action of a Levi subgroup on the abelian nilradical of a (maximal) parabolic subalgebra. We organise the unitary representations into microlocal Arthur packets. This is a test case for investigating a conjectural description of unitary representations with integral infinitesimal character. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_11862 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Unitary representations attached to parabolic subgroups: the case of abelian unipotent radical Ciubotaru, Dan Representation Theory 22E50 We classify the unitary representations with integral infinitesimal character in Lusztig's category of unipotent representations in the case when the geometric parameter space comes from the action of a Levi subgroup on the abelian nilradical of a (maximal) parabolic subalgebra. We organise the unitary representations into microlocal Arthur packets. This is a test case for investigating a conjectural description of unitary representations with integral infinitesimal character. |
| title | Unitary representations attached to parabolic subgroups: the case of abelian unipotent radical |
| topic | Representation Theory 22E50 |
| url | https://arxiv.org/abs/2510.11862 |