Journal of East China Normal University(Natural Science) ›› 2020, Vol. 2020 ›› Issue (4): 12-17.doi: 10.3969/j.issn.1000-5641.201911018

• Mathematics • Previous Articles     Next Articles

Classification of finite-dimensional real simple Balinsky-Novikov superalgebras

XIA Limeng, ZHAO Shanshan   

  1. Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, China
  • Received:2019-04-06 Published:2020-07-20

Abstract: In this paper, we study finite-dimensional Balinsky-Novikov superalgebras, which can be regarded as a class of superanalogues of Novikov algebras. We describe some of their properties and give the complete classification of finite-dimensional simple Balinsky-Novikov superalgebras over the field of real numbers.

Key words: Balinsky-Novikov superalgebra, Novikov algebra, nilpotent, classification

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