Mathematics – Representation Theory
Scientific paper
2012-02-20
Mathematics
Representation Theory
7 pages
Scientific paper
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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