Degenerations of Zinbiel and nilpotent Leibniz algebras

Ivan Kaygorodov, Yury Popov, Alexandre Pozhidaev, Yury Volkov

Research output: Contribution to journalArticlepeer-review

24 Citations (Scopus)

Abstract

We describe degenerations of four-dimensional Zinbiel and four-dimensional nilpotent Leibniz algebras over (Formula presented.) In particular, we describe all irreducible components in the corresponding varieties.

Original languageEnglish
Pages (from-to)704-716
Number of pages13
JournalLinear and Multilinear Algebra
Volume66
Issue number4
DOIs
Publication statusPublished - 3 Apr 2018

Keywords

  • degeneration
  • Leibniz algebra
  • nilpotent algebra
  • rigid algebra
  • Zinbiel algebra
  • LIE-ALGEBRAS
  • 17D99
  • VARIETIES
  • CLASSIFICATION
  • DIMENSION LESS

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