The algebraic classification of nilpotent Novikov algebras-Reference-Cited by-同舟云学术

The algebraic classification of nilpotent Novikov algebras

Published:2023 Issue:20 Volume:37 Page:6617-6664
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Abdurasulov Kobiljon¹,Kaygorodov Ivan²,Khudoyberdiyev Abror³

Affiliation:

1. Institute of Mathematics Academy of Sciences of Uzbekistan, Tashkent, Uzbekistan

2. CMA-UBI, Universidade da Beira Interior, Covilhã, Portugal + Moscow Center for Fundamental and Applied Mathematics, Moscow, Russia + Saint Petersburg University, Russia

3. Institute of Mathematics Academy of Sciences of Uzbekistan, Tashkent, Uzbekistan + National University of Uzbekistan, Tashkent, Uzbekistan

Abstract

This paper is devoted to the complete algebraic classification of complex 5-dimensional nilpotent Novikov algebras.

Publisher

National Library of Serbia

Reference40 articles.

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3. Beites P., Fernández Ouaridi A., Kaygorodov I., The algebraic and geometric classification of transposed Poisson algebras, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 117 (2023), 2, Paper 55.

4. Beneš T., Burde D., Classification of orbit closures in the variety of three-dimensional Novikov algebras, Journal of Algebra and Its Applications, 13 (2014), 2, 1350081, 33 pp.

5. Bokut L., Chen Yu., Zhang Z., On free Gelfand-Dorfman-Novikov-Poisson algebras and a PBW theorem, Journal of Algebra, 500 (2018), 153–170.

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