Mathematics

Classification of finite-dimensional real simple Balinsky-Novikov superalgebras

  • XIA Limeng ,
  • ZHAO Shanshan
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  • Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, China

Received date: 2019-04-06

  Online 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.

Cite this article

XIA Limeng , ZHAO Shanshan . Classification of finite-dimensional real simple Balinsky-Novikov superalgebras[J]. Journal of East China Normal University(Natural Science), 2020 , 2020(4) : 12 -17 . DOI: 10.3969/j.issn.1000-5641.201911018

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