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The Schur Lie-multiplier of Leibniz algebras
Abstract:Abstract

For a free presentation 0 → τ → /></span> <i>→</i> <span class= /></span> <i>→</i> 0 of a Leibniz algebra <span class= /></span>, the Baer invariant <span class= /></span> is called the <i>Schur multiplier</i> of <span class= /></span> relative to the Liezation functor or Schur Lie-multiplier. For a two-sided ideal <span class= /></span> of a Leibniz algebra <span class= /></span>, we construct a four-term exact sequence relating the Schur Lie-multipliers of <span class= /></span> and <span class= /></span>/<span class= /></span>, which is applied to study and characterize Lie-nilpotency, Lie-stem covers and Lie-capability of Leibniz algebras.</td> </tr> <tr> <td align=
Keywords:17A32  18B99
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