Corrigendum to “On 3-dimensional complex Hom-Lie algebras” [J. Algebra 555 (2020) 361–385](S0021869320301204)(10.1016/j.jalgebra.2020.03.005) Erratum uri icon

abstract

  • We wish to fix an error in [1]. The list of representatives of the isomorphism classes of skew-symmetric products μ:g×g→g for a complex 3-dimensional vector space g given there in Proposition 3.5 corresponding to the rank-2 degenerate products characterized by (2) in Proposition 3.3, were collapsed into a single representative, whereas a one-parameter family of representatives should have been obtained, as it is well known from the classification of 3-dimensional Lie algebras. The mistake affects the statements of Propositions 3.5 and 5.4. This note gives the correct statements of these two results. The rest is unaffected. © 2020 Elsevier Inc.

publication date

  • 2020-01-01