Given a group $G$
and two Gelfand subgroups $H$
and $K$
of $G$
, associated to an irreducible representation $\pi$
of $G$
, there is a notion of $H$
and $K$
being correlated with respect to $\pi$
in $G$
. This notion is defined by Benedict Gross in 1991. We discuss this theme and give some details in a specific example (which is joint work with Arindam Jana).