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arXiv · 2610.34896

Classification of Finite-Dimensional Simple Novikov Algebras and Their Irreducible Bimodules in Positive Characteristic

Dong Liu·Yufeng Pei·Limeng Xia
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Abstract

We give a complete classification of finite-dimensional simple Novikov algebras over an algebraically closed field of characteristic $p>2$, including families missing from earlier classifications in \cite{Osborn1992, Xu1996}. We determine explicit normal forms and all isomorphisms between them, and classify all nontrivial irreducible bimodules over these algebras.

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Dong Liu, Yufeng Pei, Limeng Xia. 2026-10-26. Classification of Finite-Dimensional Simple Novikov Algebras and Their Irreducible Bimodules in Positive Characteristic. https://arxiv.org/abs/2610.34896

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