G_2型单代数群的单模张量积的分解

胡余旺; 彭帮琦

胡余旺, 彭帮琦. G_2型单代数群的单模张量积的分解[J]. 信阳师范学院学报(自然科学版), 2001, 14(3): 272-276.

引用本文:

胡余旺, 彭帮琦. G_2型单代数群的单模张量积的分解[J]. 信阳师范学院学报(自然科学版), 2001, 14(3): 272-276.

HU Yu wang, PENG Bang qi. Decomposition of the tensor product of the simple module for the simple algebraic group of type G_2[J]. Journal of Xinyang Normal University (Natural Science Edition), 2001, 14(3): 272-276.

Citation:

HU Yu wang, PENG Bang qi. Decomposition of the tensor product of the simple module for the simple algebraic group of type G_2[J]. Journal of Xinyang Normal University (Natural Science Edition), 2001, 14(3): 272-276.

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

摘要

摘要: 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 G模的张量积

Abstract: 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.

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