Representability of the automorphism group of finitely generated vertex algebras
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
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| _version_ | 1866910223505031168 |
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| author | Gannon, Terry Mader, Robin Pianzola, Arturo |
| author_facet | Gannon, Terry Mader, Robin Pianzola, Arturo |
| contents | We study the automorphism groups attached to a free algebra with multiple, possibly infinitely many, composition laws. As an application, we prove that the automorphism group of finitely generated vertex algebras over noetherian rings are affine group schemes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_15605 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Representability of the automorphism group of finitely generated vertex algebras Gannon, Terry Mader, Robin Pianzola, Arturo Quantum Algebra Algebraic Geometry Rings and Algebras primary: 17B69, secondary: 14F20, 14L15 We study the automorphism groups attached to a free algebra with multiple, possibly infinitely many, composition laws. As an application, we prove that the automorphism group of finitely generated vertex algebras over noetherian rings are affine group schemes. |
| title | Representability of the automorphism group of finitely generated vertex algebras |
| topic | Quantum Algebra Algebraic Geometry Rings and Algebras primary: 17B69, secondary: 14F20, 14L15 |
| url | https://arxiv.org/abs/2605.15605 |