关于平移函子  

ON THE TRANSLATION FUNCTORS

作　　者：柏元淮[1] 

机构地区：[1]暨南大学

出　　处：《数学杂志》1991年第3期311-319,共9页Journal of Mathematics

摘　　要：设室 C∈V^(p-1)ρ,λ,μ∈(?)。令η∈X(T)满足 λ+pη∈X(T)_(+(?))当μ属于包含λ的片的闭包时,平移 T_(λ+pη)^(μ+pη)L(λ+pη)是已知的(参看[1]或[2])。今设λ,μ∈(?),Stnb_W_p(λ)={1,y}本文得到了平移公式 T_(λ+pη)^(μ+pη)L(λ+pη)。作为本文结果的一个应用,我们对于 G=SL_3的情形,给出了形式特征标 chT_(λ+pη)^(μ+pη)L(λ+pη)。Let the alcove C(?)V^(p-1)p,λ,μ∈(?) and let η∈X(T) with λ+pη∈X(T)(?)If μ belongs to the closure of the facet containing λ,then translationT_(λ+pη)^(μ+pη) L(λ+pη) are well—known (Cf.[1] or [2]).Now let Stabw_p(λ)={1,y},the translation T_(λ+pη)^(μ+pη) L(λ+pη) is given in this paper.As applications,theformal character ch T_(λ+pη)^(μ+pη) L(λ+pη) for the case of G=SL_3 are also given.

关 键 词：平移函子 特征标 线性代数群 G模 

分 类 号：O152.6[理学—数学]