The variety of dual mock-Lie algebras

Luisa M. Camacho, Ivan Kaygorodov, Viktor Lopatkin, Mohamed A. Salim

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)

Abstract

We classify all complex 7-and 8-dimensional dual mock-Lie algebras by the algebraic and geometric way. Also, we find all non-Trivial complex 9-dimensional dual mock-Lie algebras.

Original languageEnglish
Pages (from-to)161-178
Number of pages18
JournalCommunications in Mathematics
Volume28
Issue number2
DOIs
Publication statusPublished - Sep 1 2020

Keywords

  • Nilpotent algebra
  • algebraic classification
  • anticommutative algebra
  • central extension
  • degeneration
  • dual mock-Lie algebra
  • geometric classification
  • mock-Lie algebra

ASJC Scopus subject areas

  • Mathematics(all)

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