A Kac-Moody algebra associated to the non-compact manifold SL$(2, \mathbb R)$
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866909324084772864 |
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| author | Campoamor-Strusberg, Rutwig Marrani, Alessio de Traubenberg, Michel Rausch |
| author_facet | Campoamor-Strusberg, Rutwig Marrani, Alessio de Traubenberg, Michel Rausch |
| contents | We construct explicitly a Kac-Moody algebra associated to SL$(2, \mathbb R)$ in two different but equivalent ways: either by identifying a Hilbert basis of $L^2($SL$(2, \mathbb R))$ or by the Plancherel Theorem. Central extensions and Hermitean differential operators are identified. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_15837 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Kac-Moody algebra associated to the non-compact manifold SL$(2, \mathbb R)$ Campoamor-Strusberg, Rutwig Marrani, Alessio de Traubenberg, Michel Rausch Mathematical Physics High Energy Physics - Theory Representation Theory We construct explicitly a Kac-Moody algebra associated to SL$(2, \mathbb R)$ in two different but equivalent ways: either by identifying a Hilbert basis of $L^2($SL$(2, \mathbb R))$ or by the Plancherel Theorem. Central extensions and Hermitean differential operators are identified. |
| title | A Kac-Moody algebra associated to the non-compact manifold SL$(2, \mathbb R)$ |
| topic | Mathematical Physics High Energy Physics - Theory Representation Theory |
| url | https://arxiv.org/abs/2409.15837 |