We describe a Gauss decomposition for the Yangian
Y(\mathfrakglm|n)Y({\mathfrak{gl}}_{m|n}) of the general linear Lie superalgebra. This gives a connection between this Yangian and the Yangian of the classical Lie
superalgebra
Y(
A(
m − 1,
n − 1)) (for
m ≠
n) defined and studied in papers by Stukopin, and suggests natural definitions for the Yangians
Y(\mathfraksln|n)Y({\mathfrak{sl}}_{n|n}) and
Y(
A(
n,
n)). We also show that the coefficients of the quantum Berezinian generate the centre of the Yangian
Y(\mathfrakglm|n)Y({\mathfrak{gl}}_{m|n}) . This was conjectured by Nazarov in 1991.
Communicated by L. Takhtajan