The classification of Novikov algebras in low dimensions

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Published under licence by IOP Publishing Ltd
, , Citation Chengming Bai and Daoji Meng 2001 J. Phys. A: Math. Gen. 34 1581 DOI 10.1088/0305-4470/34/8/305

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1 Theoretical Physics Division, Nankai Institute of Mathematics, Tianjin 300071, People's Republic of China

2 Department of Mathematics, Nankai University, Tianjin 300071, People's Republic of China

Dates

  1. Received 19 July 2000

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0305-4470/34/8/1581

Abstract

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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