量子群上同调群的合成因子  

COMPOSITION FACTORS OF COHOMOLOGY GROUPS FOR QUANTUM GROUPS

作　　者：卢伦[1] 柏元淮[1] 黄一德[1] 

机构地区：[1]暨南大学数学系,广州510632

出　　处：《数学杂志》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 )

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.

关 键 词：量子群 上同调群 合成因子 理想 代数同态 

分 类 号：O152.5[理学—数学]