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arXiv · 2606.15087

On the structure of finite Novikov conformal algebras

Pavel Kolesnikov·Jiefeng Liu
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Abstract

We classify finite simple Novikov conformal algebras over an algebraically closed field of characteristic zero. The classification consists of the current conformal algebra over the base field and a one-parameter list of Virasoro-like conformal algebras. A semisimple finite Novikov conformal algebra is proved to be a direct sum of simple ones. We also describe deformations and central extensions of finite simple Novikov conformal algebras.

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Pavel Kolesnikov, Jiefeng Liu. 2026-06-13. On the structure of finite Novikov conformal algebras. https://arxiv.org/abs/2606.15087

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