Abstract
In the work of Rostami et al., the Bogomolov multiplier of a Lie algebra L over a field Ω is defined as a particular factor of a subalgebra of the exterior product L∧L. If L is finite dimensional, we identify this object as a certain subgroup of the second cohomology group H2(L,Ω) by deriving a Hopf-Type formula. As an application, we affirmatively answer two questions posed by Kunyavskiĭ regarding the invariance of the Bogomolov multiplier under isoclinism of Lie algebras and the existence of a family of Lie algebras with Bogomolov multipliers of unbounded dimension.
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