  With any skew Young diagram one can associate a one parameter family of
"elementary" modules over the Yangian $\Yg(\g\l_N)$. Consider the twisted
Yangian $\Yg(\g_N)\subset \Yg(\g\l_N)$ associated with a classical matrix Lie
algebra $\g_N\subset\g\l_N$. Regard the tensor product of elementary Yangian
modules as a module over $\Yg(\g_N)$ by restriction. We prove its
irreducibility for generic values of the parameters.
