Closed positive formulas for decomposition numbers of standard modules and a piecewise-linear q-character formula for irreducibles of quantum affine sl_2 are obtained via Nakajima geometry and canonical bases.
A piecewise-linear formula for rigid representations of Dynkin quivers.Beitr
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Two remarks on decomposition numbers of standard modules for quantum affine $\mathfrak{sl}_2$
Closed positive formulas for decomposition numbers of standard modules and a piecewise-linear q-character formula for irreducibles of quantum affine sl_2 are obtained via Nakajima geometry and canonical bases.