On the minimal parabolic induction
Fuente:
arXiv
Salvato in:
| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866929651083902976 |
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| author | Li, Xinyu |
| author_facet | Li, Xinyu |
| contents | Motivated by Beilinson-Bernstein's proof of the Jantzen conjectures, we define the minimal parabolic induction functor for Kac-Moody algebras, and establish some basic properties. As applications of the formal theory, we examine first extension groups between simple highest weight modules in the category of weight modules, and analyze the annihilators of some simple highest weight modules. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_19008 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the minimal parabolic induction Li, Xinyu Representation Theory Quantum Algebra Motivated by Beilinson-Bernstein's proof of the Jantzen conjectures, we define the minimal parabolic induction functor for Kac-Moody algebras, and establish some basic properties. As applications of the formal theory, we examine first extension groups between simple highest weight modules in the category of weight modules, and analyze the annihilators of some simple highest weight modules. |
| title | On the minimal parabolic induction |
| topic | Representation Theory Quantum Algebra |
| url | https://arxiv.org/abs/2412.19008 |