Leibniz and Hochschild homology

We construct and study the map from Leibniz homology HL_?(𝔥) of an abelian extension 𝔥 of a simple real Lie algebra 𝔤 to the Hochschild homology HH_??1(U(𝔥)) of the universal envelopping algebra U(𝔥). To calculate some homology groups, we use the Hochschild-Serre spectral sequences and Pirashvili spectral sequences. The result shows what part of the non-commutative Leibniz theory is detected by classical Hochschild homology, which is of interest today in string theory.     

Effects of nonhomogeneous nanofluid model on convective heat transfer in partially heated square cavity with conducting solid block

Journal of Thermal Analysis and Calorimetry - In this study, the conjugate natural convection in a square cavity filled with $$\hbox {Al}_2\hbox {O}_3$$ –water nanofluid with an inner...