Universal Central Extensions of the Matrix Leibniz Superalgebras sl(m, n, A)

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/137560The universal central extensions and their extension kernels of the matrix Lie superalgebra sl(m, n, A), the Steinberg Lie superalgebra st(m, n, A) in category {\bf SLeib} of Leibniz superalgebras are determined under a weak assumption (compared with \cite{MP}) using the first Hochschild homology and the first cyclic homology group.8 pages. Communications in Algebra (to appear)Representation TheoryK-Theory and Homology17B37, 81R50, 17B35Universal Central Extensions of the Matrix Leibniz Superalgebras sl(m, n, A)text