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The classification of Novikov algebras in low dimensions

Chengming BaiTheoretical Physics Division, Nankai Institute of Mathematics, Tianjin 300071, People's Republic of ChinaDaoji MengDepartment of Mathematics, Nankai University, Tianjin 300071, People's Republic of China
2001en
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Novikov algebras were introduced in connection with the Poisson brackets of hydrodynamic-type and Hamiltonian operators in the formal variational calculus. For further our understanding and physical applications, we give a classification of Novikov algebras in dimensions two and three in this paper.

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