青岛大学学报（自然科学版）2018，Vol.31Issue(2)：18-22,5.DOI:10.3969/j.issn.1006-1037.2018.05.04
单李代数的不可约模上多重线性型空间的研究
Study of the Space of Multi-linear Forms on Irreducible Modules over Finite Dimensional Simple Lie Algebras
摘要
Abstract
A concrete description of the vector space of multi-linear forms on irreducible modules over finite dimensional Lie algebras on complex field is given.In particular,using the technique of tensor product,the existence of multi-linear forms on V(m) which is the irreducible module of m+ 1 dimension over the three dimensional classical simple Lie algebra sl(2,F) are studied.Finally,we got some elementary results about weights by studying the general case.关键词
单李代数/不变多重线性型/不可约模/最高权模Key words
Simple Lie algebras/invariant multi-linear form/irreducible module/highest weight module分类
数理科学引用本文复制引用
刘建岐,王宪栋..单李代数的不可约模上多重线性型空间的研究[J].青岛大学学报（自然科学版）,2018,31(2):18-22,5.基金项目
国家自然科学基金(批准号:11472144)资助. （批准号:11472144）
