Non-Weight modules over affine Nappi-Witten Lie algebras
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909227927207936 |
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| author | Chakraborty, Priyanshu Tantubay, Santanu |
| author_facet | Chakraborty, Priyanshu Tantubay, Santanu |
| contents | In this paper, we study the representation theory of affine Nappi-Witten Lie algebra $\widehat{H_4}$ corresponding to the Nappi-Witten Lie algebra $H_4$. We completely classify all Cartan-free modules of rank one for the Nappi-Witten Lie algebra $H_4$. With the help of Cartan free $H_4$ modules we classify all Cartan-free modules of rank one over affine Nappi Witten Lie algebra. We also give a necessary and sufficient condition for these modules to be irreducible. Finally as an application we classify Cartan free modules of rank one for affine-Virasoro Nappi-Witten Lie algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_13562 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-Weight modules over affine Nappi-Witten Lie algebras Chakraborty, Priyanshu Tantubay, Santanu Representation Theory 17B68, 17B67 In this paper, we study the representation theory of affine Nappi-Witten Lie algebra $\widehat{H_4}$ corresponding to the Nappi-Witten Lie algebra $H_4$. We completely classify all Cartan-free modules of rank one for the Nappi-Witten Lie algebra $H_4$. With the help of Cartan free $H_4$ modules we classify all Cartan-free modules of rank one over affine Nappi Witten Lie algebra. We also give a necessary and sufficient condition for these modules to be irreducible. Finally as an application we classify Cartan free modules of rank one for affine-Virasoro Nappi-Witten Lie algebras. |
| title | Non-Weight modules over affine Nappi-Witten Lie algebras |
| topic | Representation Theory 17B68, 17B67 |
| url | https://arxiv.org/abs/2406.13562 |