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arXiv · 1202.4227

Rigidity of formal character of Lie algebras of type A

Zhongguo Zhou
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Abstract

For a complex simple Lie algebra of type $A$, given a family of elements $f_\lambda\in \mathbb Z[\Lambda],\lambda\in \Lambda^+,$ we show that $f_\lambda$ is just the formal character of the Weyl module $V(\lambda) $ if $f_\lambda$ satisfy two natural conditions.

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Zhongguo Zhou. 2012-02-20. Rigidity of formal character of Lie algebras of type A. https://arxiv.org/abs/1202.4227

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