Irreducible sl2-decomposition for a highest weight sl2-module

doi:10.3969/j.issn.1000-5641.2018.03.003

Journal of East China Normal University(Natural Sc ›› 2018, Vol. 2018 ›› Issue (3): 25-29.doi: 10.3969/j.issn.1000-5641.2018.03.003

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Irreducible sl₂-decomposition for a highest weight sl₂-module

CHAI Wei-jun, XIA Li-meng

Institute of Applied System Analysis, Jiangsu University, Zhenjiang Jiangsu 212013, China

Received:2017-03-22 Online:2018-05-25 Published:2018-05-29

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.

Key words: affine Lie algebra, module, irreducible decomposition

CLC Number:

O152

Cite this article

CHAI Wei-jun, XIA Li-meng. Irreducible sl₂-decomposition for a highest weight sl₂-module[J]. Journal of East China Normal University(Natural Sc, 2018, 2018(3): 25-29.

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