摘要
A=Z[v] Ω,Ω是 Z[v]的由 v- 1和奇素数 p生成的理想 ,U是 A上的量子群 ,设 k是特征为零的代数闭域 ,A→ k(v|→ ξ)是代数同态 ,ξ是 p次本原根 ,命 Uk=U Ak,W是 weyl群 ,X+是支配权集 。
Let U be a quantum group over A=Z Ω with a symmetric Cartan matrix, where Ω is the ideal of Z generated v-1, k be an algebraically closed of characteristic zero. Consider a ring homomorphism A→k(v|→ξ), let U k=U? 瑼 k. Suppose that ξ is a primitive p th root of unity. Let χ∈X + be pregular weihts and let λ is maximal anong weights strongly likned to χ. We give the neceessary and sufficient condition for L k(λ) (or L k(χ)) to be a composition factor of H i k(w·χ). If the condition is satisfied, then it occurs with multiplicity 1.
出处
《数学杂志》
CSCD
北大核心
2002年第1期38-44,共7页
Journal of Mathematics
基金
国家自然科学基金资助项目 (1 9471 0 89)
广东省自然科学基金资助项目 (960 2 0 0 )
