G_2型单代数群的单模张量积的分解

Decomposition of the tensor product of the simple module for the simple algebraic group of type G_2

设 G是特征 p=5的代数闭域 K上 G2 型单代数群 .在本文中 ,我们首先利用 Jantzen和公式计算部分 Weyl模 V(λ) ,λ∈X(T) + 的 G-合成因子 ,然后分解一些单

Let G be the simple algebraic group of type G 2 over the algebraically closed field in characteristic five.We compute firstly G composition factors of some Weyl modules V(λ),λ∈X(T) +,and then decompose the tensor products of simple G module needed in this note.