Journal of East China Normal University(Natural Science) >

2018 , Vol. 2018 >Issue 3: 25 - 29

DOI: https://doi.org/10.3969/j.issn.1000-5641.2018.03.003

Irreducible sl2-decomposition for a highest weight sl2-module

  • CHAI Wei-jun ,
  • XIA Li-meng
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  • Institute of Applied System Analysis, Jiangsu University, Zhenjiang Jiangsu 212013, China

Received date: 2017-03-22

  Online 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

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 Science), 2018 , 2018(3) : 25 -29 . DOI: 10.3969/j.issn.1000-5641.2018.03.003

References

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[3] LEPOWSKY J, WILSON R. The structure of standard modules, I:Universal algebras and the Rogers-Ramanujan identities[J]. Invent Math, 1984(77):199-290.
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