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

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 {Osborn1992, Xu1996}. We determine explicit normal forms and all isomorphisms between them, and classify all nontrivial irreducible bimodules over these algebras.