The Algebraic and Geometric Classification of Nilpotent Assosymmetric Algebras

Ismailov N., Kaygorodov I., Mashurov F.

ALGEBRAS AND REPRESENTATION THEORY, vol.24, no.1, pp.135-148, 2021 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 24 Issue: 1
  • Publication Date: 2021
  • Doi Number: 10.1007/s10468-019-09935-y
  • Journal Name: ALGEBRAS AND REPRESENTATION THEORY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, MathSciNet, zbMATH
  • Page Numbers: pp.135-148
  • Keywords: Algebraic classification, Assosymmetric algebras, Central extension, Degeneration, Geometric classification, Nilpotent algebras
  • Süleyman Demirel University Affiliated: No

Abstract

We present algebraic and geometric classifications of the 4-dimensional complex nilpotent assosymmetric algebras.