Representability of the automorphism group of finitely generated vertex algebras

Terry Gannon; Robin Mader; Arturo Pianzola

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arXiv · 2605.15605

Representability of the automorphism group of finitely generated vertex algebras

Terry Gannon·Robin Mader·Arturo Pianzola

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Abstract

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.

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Terry Gannon, Robin Mader, Arturo Pianzola. 2026-05-15. Representability of the automorphism group of finitely generated vertex algebras. https://arxiv.org/abs/2605.15605

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