通过详细构造权为μ的非零向量,决定了特征p〉0的代数闭域上A型代数群G的不可约模的权集,证明了λ∈X1(T)是限制支配权时,不可约G-模的权集同Weyl模的权集是相同的.
The weight set of an irreducible module for the algebraic group G of type A over an algebraically closed field of characteristic p 〉 0 is described in the present note by constructing a nonzero vector with weight μ. It is proved that the weight set of an irreducible G-module L ( λ ) is the same as that of the Weyl module V( λ ) when ,λ ∈ X1 (T) is a restricted weight.