%0 Journal Article %T 最高权sl2-模的sl2-分解 %A 柴维君 %A 夏利猛 %J 华东师范大学学报(自然科学版) %D 2018 %R 10.3969/j.issn.1000-5641.2018.03.003 %X 摘要 本文主要研究仿射李代数的最高权不可约模L(Λ0).由于3维单李代数sl2可以看作的子李代数,则L(Λ0)自然地成为sl2-模.我们给出了L(Λ0)作为sl2-模的不可约分解.</br>Abstract:In this paper, we study the irreducible highest weight module L(Λ0) of affine Lie algebra . Since the three-dimensional simple algebra sl2 is regarded as a Lie subalgebra of , L(Λ0) naturally becomes a sl2-module. We present the irreducible decomposition of L(Λ0) as a sl2-module. %K 仿射李代数 %K 模 %K 不可约分解< %K /br> %K Key words: affine Lie algebra module irreducible decomposition %U http://xblk.ecnu.edu.cn/CN/abstract/abstract25503.shtml