The algebraic and geometric classification of nilpotent right alternative algebras

Nurlan Ismailov, Ivan Kaygorodov, Manat Mustafa

Research output: Contribution to journalArticlepeer-review

Abstract

We present algebraic and geometric classifications of the 4-dimensional complex nilpotent right alternative algebras. Specifically, we find that, up to isomorphism, there are only 9 non-isomorphic nontrivial nilpotent right alternative algebras. The corresponding geometric variety has dimension 13 and it is determined by the Zariski closure of 4 rigid algebras and one one-parametric family of algebras.

Original languageEnglish
Pages (from-to)18-30
Number of pages13
JournalPeriodica Mathematica Hungarica
Volume84
Issue number1
DOIs
Publication statusPublished - Mar 2022

Keywords

  • Algebraic classification
  • Central extension
  • Degeneration
  • Geometric classification
  • Nilpotent algebras
  • Right alternative algebras

ASJC Scopus subject areas

  • Mathematics(all)

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