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- 2018
最高权sl2-模的sl2-分解DOI: 10.3969/j.issn.1000-5641.2018.03.003 Keywords: 仿射李代数, 模, 不可约分解Key words: affine Lie algebra module irreducible decomposition Abstract: 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.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.
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