Non-weight modules over the BMS-Kac-Moody algebra
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866916824352817152 |
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| author | Chen, Qiufan Guo, Cong |
| author_facet | Chen, Qiufan Guo, Cong |
| contents | In this paper, we construct and classify a class of non-weight modules over the BMS-Kac-Moody algebra, which are free modules of rank one when restricted to the universal enveloping algebra of the Cartan subalgebra (modulo center). We give the classification of such modules. Moreover, the irreducibility and the isomorphism classes of these modules are determined. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_02553 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-weight modules over the BMS-Kac-Moody algebra Chen, Qiufan Guo, Cong Representation Theory 17B10, 17B35, 17b65, 17b68 In this paper, we construct and classify a class of non-weight modules over the BMS-Kac-Moody algebra, which are free modules of rank one when restricted to the universal enveloping algebra of the Cartan subalgebra (modulo center). We give the classification of such modules. Moreover, the irreducibility and the isomorphism classes of these modules are determined. |
| title | Non-weight modules over the BMS-Kac-Moody algebra |
| topic | Representation Theory 17B10, 17B35, 17b65, 17b68 |
| url | https://arxiv.org/abs/2507.02553 |