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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2409.10029 |
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| _version_ | 1866914949939331072 |
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| author | Kolesnikov, P. S. Nesterenko, A. A. |
| author_facet | Kolesnikov, P. S. Nesterenko, A. A. |
| contents | A Novikov conformal algebra is a conformal algebra such that its coefficient algebra is right-symmetric and left commutative (i.e., it is an ``ordinary'' Novikov algebra). We prove that every Novikov conformal algebra with a uniformly bounded locality function on a set of generators can be embedded into a commutative conformal algebra with a derivation. In particular, every finitely generated Novikov conformal algebra has a commutative conformal differential envelope. For infinitely generated algebras this statement is not true in general. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_10029 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Differential envelopes of Novikov conformal algebras Kolesnikov, P. S. Nesterenko, A. A. Rings and Algebras 17D25, 17A36, 16S15 A Novikov conformal algebra is a conformal algebra such that its coefficient algebra is right-symmetric and left commutative (i.e., it is an ``ordinary'' Novikov algebra). We prove that every Novikov conformal algebra with a uniformly bounded locality function on a set of generators can be embedded into a commutative conformal algebra with a derivation. In particular, every finitely generated Novikov conformal algebra has a commutative conformal differential envelope. For infinitely generated algebras this statement is not true in general. |
| title | Differential envelopes of Novikov conformal algebras |
| topic | Rings and Algebras 17D25, 17A36, 16S15 |
| url | https://arxiv.org/abs/2409.10029 |