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The classification of Novikov algebras in low dimensions: invariant bilinear forms

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Published 21 September 2001 • Published under licence by IOP Publishing Ltd
, , Citation Chengming Bai and Daoji Meng 2001 J. Phys. A: Math. Gen. 34 8193 DOI 10.1088/0305-4470/34/39/401

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Author affiliations

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

2 Liu Hui Center for Applied Mathematics, Tianjin 300071, People's Republic of China

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

Dates

  1. Received 10 July 2001
  2. Published

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0305-4470/34/39/8193

Abstract

In this note, we give a complete classification of the (non-degenerate) symmetric invariant bilinear forms on Novikov algebras in dimension 2 and 3, which can be regarded as an addendum of the classification of Novikov algebras in low dimensions given in our previous work (Bai C M and Meng D J 2001 J. Phys. A: Math. Gen. 34 1581–94).

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10.1088/0305-4470/34/39/401