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Journal of Lie Theory 25 (2015), No. 2, 553--558
Copyright Heldermann Verlag 2015

Rigidity of Formal Characters of Lie algebras of type A

Zhongguo Zhou
College of Science, Hohai University, Nanjing 210098, P. R. China


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

Keywords: Formal characters, tensor product, Weyl modules.

MSC: 17B10, 20G05

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