Künneth-style formula for the homology of Leibniz algebras
The paper concerns Leibniz algebras. The author points to the work [\textit{J.-L. Loday}, Enseign. Math., II. Sér. 39, 269-293 (1993; Zbl 0806.55009)] for a review on more information on these objects. The aim of this successive work by the author examining these algebras is to compute \(HL_*({\mathfrak g}\oplus {\mathfrak g}')\), i.e. the Leibniz homology of the direct sum of Leibniz algebras \({\mathfrak g}\) and \({\mathfrak g}'\). The author gets a Künneth-type formula \[ HL_*({\mathfrak g}\oplus{\mathfrak g}')\cong HL_*({\mathfrak g})*HL_*({\mathfrak g}') \] in which the right-hand side represents a sort of noncommutative tensor product for graded modules.
scientific article; zbMATH DE number 861932