Irreducibility of fusion modules over twisted Yangians at generic point
arXiv:math/0612738 · doi:10.1007/s11005-007-0142-6
Abstract
With any skew Young diagram one can associate a one parameter family of "elementary" modules over the Yangian $\Yg(\gł_N)$. Consider the twisted Yangian $\Yg(\g_N)\subset \Yg(\gł_N)$ associated with a classical matrix Lie algebra $\g_N\subset\gł_N$. 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.
Replaced with journal version, 18 pages