Twisted Yangian Y(sp^(2))的一类单权模

A class of simple weight modules of Twisted Yangian Y(sp^(2))

研究了Twisted Yangian Y(g_(N))的权模问题,构造了Y(sp^(2))的一类权空间维数均为2的无限维权模,给出了该权模不可约的充分条件.

The weight modules of Twisted Yangian Y(g_(N))is studied.A class of infinite-dimensional weight modules for Y(sp^(2))whose weight spaces are two-dimensional is constructed.A sufficient condition for this class of weight modules to be irreducible is given.