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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2510.21741 |
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| _version_ | 1866912669686038528 |
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| author | Kytölä, Kalle |
| author_facet | Kytölä, Kalle |
| contents | We formalize in Lean certain calculational proofs about infinite-dimensional Lie algebras. Specifically, we construct the Virasoro algebra as a central extension of the Witt algebra associated with a nontrivial 2-cocycle, and we construct representations of the Virasoro algebra by Sugawara constructions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_21741 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Virasoro algebra and Sugawara constructions formally in Lean Kytölä, Kalle Quantum Algebra Mathematical Physics 03B35, 68V20, 17B68, 17B56 F.3.1 We formalize in Lean certain calculational proofs about infinite-dimensional Lie algebras. Specifically, we construct the Virasoro algebra as a central extension of the Witt algebra associated with a nontrivial 2-cocycle, and we construct representations of the Virasoro algebra by Sugawara constructions. |
| title | Virasoro algebra and Sugawara constructions formally in Lean |
| topic | Quantum Algebra Mathematical Physics 03B35, 68V20, 17B68, 17B56 F.3.1 |
| url | https://arxiv.org/abs/2510.21741 |