  The aim of this note is to completely determine the second homology group of
the special queer Lie superalgebra $\mathfrak{sq}_n(R)$ coordinatized by a
unital associative superalgebra $R$, which will be achieved via an isomorphism
between the special linear Lie superalgebra $\mathfrak{sl}_{n}(R\otimes Q_1)$
and the special queer Lie superalgebra $\mathfrak{sq}_n(R)$.
