
Journal of Lie Theory 25 (2015), No. 2, 553558 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 zhgzhou@hhu.edu.cn [Abstractpdf] 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 [ Fulltextpdf (264 KB)] for subscribers only. 