A character formula for a family of simple modular representations of $ GL_n $
A character formula for a family of simple modular representations of $ GL_n $
Let K be an algebraically closed field of finite characteristic p , and let n\geq 1 be an integer. In the paper, we give a character formula for all simple rational representations of GL_{n}(K) with highest weight any multiple of any fundamental weight. Our formula is slightly more general: say …