Abstract
A dialgebra D is a vector space with two associative operations ÷, ⊢ satisfying three more relations. By setting [ x, y] : = x ÷ y − y ⊢ x, any dialgebra gives rise to a Leibniz algebra. Here we compute the Leibniz homology of the dialgebra of matrices gl( D) with entries in a given dialgebra D. We show that HL( gl( D)) is isomorphic to the tensor module over HHS( D), which is a variation of the natural dialgebra homology HHY( D).
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