Classifications of Simple Novikov Algebras and Their Irreducible Modules of Characteristic 0

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In this paper, we first present a classification theorem of infinite-dimensional simple Novikov algebras over an algebraically closed field with characteristic 0. Then we classify all the irreducible modules of a certain infinite-dimensional simple Novikov algebras with an idempotent element whose left action is locally finite.
32 pages;Latex file

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