The asymptotic character of a module in category O for truncated shifted Yangians equals the bar-character of its KLR module, giving a weak change-of-basis formula between the dual canonical and MV bases.
A polytope calculus for semisimple groups
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Category $\mathcal{O}$ and asymptotic characters
The asymptotic character of a module in category O for truncated shifted Yangians equals the bar-character of its KLR module, giving a weak change-of-basis formula between the dual canonical and MV bases.