Photo from wikipedia
Abstract The Schur -multiplier of Leibniz algebras is the Schur multiplier of Leibniz algebras defined relative to the Liezation functor. In this paper, we provide upperbounds for the dimensions of… Click to show full abstract
Abstract The Schur -multiplier of Leibniz algebras is the Schur multiplier of Leibniz algebras defined relative to the Liezation functor. In this paper, we provide upperbounds for the dimensions of the c-nilpotent Schur -multiplier and c- stem cover of a finite-dimensional non-Lie Leibniz algebra. In the case of a -nilpotent non-Lie Leibniz algebra, we determine this upperbound in terms of the dimensions of its -center and -commutator. We also investigate the case of c-nilpotent Leibniz algebras of maximal class.
Keywords:
multiplier leibniz;
leibniz algebras;
lie;
nilpotent schur
Journal Title: Communications in Algebra
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Communications in Algebra
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!