Ììì Óñòòøóöö Blockin× Óó Óöööøøð Úöööøøø× Ðó×ùöö× Óó Òòðôóøøòø Óöööö ¾ Ò ×ð N

We consider two partial orders on the set of standard Young tableaux. The first one is induced to this set from the weak right order on symmetric group by Robinson-Schensted algorithm. The second one is induced to it from the dominance order on Young diagrams by considering a Young tableau as a chain of Young diagrams. We prove 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 special linear algebra sln.