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

Mathematics – Representation Theory

Scientific paper

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8 pages. Communications in Algebra (to appear)

Scientific paper

The 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.

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