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   

  1. Institute of Applied System Analysis, Jiangsu University, Zhenjiang Jiangsu 212013, China
  • Received:2017-03-22 Online:2018-05-25 Published:2018-05-29

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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

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