  We consider two partial orders on standard Young tableaux. The first one is
induced from the weak right Bruhat order on symmetric group by
Robinson-Schensted algorithm. The second one is induced from the order on Young
diagrams by considering a Young tableau as a chain of Young diagrams. We show
that these two orders of completely different nature coincide on the subset of
Young tableaux with 2 columns or with 2 rows. This fact has very interesting
geometric implications for orbital varieties of nilpotent order 2 in sl(n).
