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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2506.19625 |
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| _version_ | 1866913910326558720 |
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| author | Xue, Yaohui Wang, Yan |
| author_facet | Xue, Yaohui Wang, Yan |
| contents | A class of generalized Verma modules over sl(m+1) are constructed from simple highest weight gl(m)-modules. Furthermore, the simplicity criterion for these sl(m+1)-modules are determined and an equivalence between generalized Verma modules and tensor modules are established. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_19625 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Generalized Verma modules over sl(m+1) induced from simple highest weight modules Xue, Yaohui Wang, Yan Representation Theory 17B10, 17B20 A class of generalized Verma modules over sl(m+1) are constructed from simple highest weight gl(m)-modules. Furthermore, the simplicity criterion for these sl(m+1)-modules are determined and an equivalence between generalized Verma modules and tensor modules are established. |
| title | Generalized Verma modules over sl(m+1) induced from simple highest weight modules |
| topic | Representation Theory 17B10, 17B20 |
| url | https://arxiv.org/abs/2506.19625 |