厦门大学学报（自然科学版）2011，Vol.50Issue(1)：1-5,5.
多重Loop李代数的Weyl模
Weyl Modules for the Iterated Loop Algebras
摘要
Abstract
Let g be any finite-dimensional simple Lie algebra over the complex field C and Av = C[t1±1 , ... , tv±1 ] be the Laurent polynomial ring in v commutating variables. Let L(g) =g(⊙)C[t1±1 , ... . tv±1 ] be an iterated loop algebra. We consider the Weyl modules over L(g). We prove that the Weyl modules are finite-dimensional and any module under some assumption is a quotient of such a module. Finally.we give a tensor product decomposition for the Weyl modules.关键词
多重Loop代数/Weyl模/诱导模分类
数学引用本文复制引用
常学武..多重Loop李代数的Weyl模[J].厦门大学学报（自然科学版）,2011,50(1):1-5,5.基金项目
国家自然科学基金资助项目(10931006) （10931006）
