  In the paper [P. Achar, "On the equivariant $K$-theory of the nilpotent cone
in the general linear group," Represent. Theory 8 (2004), 180-211], the author
gave a combinatorial algorithm for computing the Lusztig-Vogan bijection for
$GL(n,\mathbb{C})$. However, that paper failed to mention one easy case that
may sometimes arise, making the description of the algorithm incomplete. This
note fills in that gap.
