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

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

2000-08-09

arxiv.org/abs/math/0008072v1

Mathematics

Quantum Algebra

32 pages;Latex file

Scientific paper

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.

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