Dirac inequality for highest weight Harish-Chandra modules I
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2022
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| Acceso en línea: | |
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| _version_ | 1866911216868261888 |
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| author | Pandžić, Pavle Prlić, Ana Souček, Vladimír Tuček, Vít |
| author_facet | Pandžić, Pavle Prlić, Ana Souček, Vladimír Tuček, Vít |
| contents | Let $G$ be a connected simply connected noncompact classical simple Lie group of Hermitian type. Then $G$ has unitary highest weight representations. The proof of the classification of unitary highest weight representations of $G$ given by Enright, Howe and Wallach is based on the Dirac inequality of Parthasarathy, Jantzen's formula and Howe's theory of dual pairs where one group in the pair is compact. In this paper we focus on the Dirac inequality which can be used to prove the classification in a more direct way. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_15324 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Dirac inequality for highest weight Harish-Chandra modules I Pandžić, Pavle Prlić, Ana Souček, Vladimír Tuček, Vít Representation Theory Let $G$ be a connected simply connected noncompact classical simple Lie group of Hermitian type. Then $G$ has unitary highest weight representations. The proof of the classification of unitary highest weight representations of $G$ given by Enright, Howe and Wallach is based on the Dirac inequality of Parthasarathy, Jantzen's formula and Howe's theory of dual pairs where one group in the pair is compact. In this paper we focus on the Dirac inequality which can be used to prove the classification in a more direct way. |
| title | Dirac inequality for highest weight Harish-Chandra modules I |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2209.15324 |