A thickening realization reduces canonical basis transition matrices and structure constants for tensor products in quantum groups to those of a larger quantum group's negative part, implying positivity.
Positivity properties for canonical bases of modified quantum affinesl n
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Canonical bases of tensor products and positivity properties
A thickening realization reduces canonical basis transition matrices and structure constants for tensor products in quantum groups to those of a larger quantum group's negative part, implying positivity.