Positivity of Canonical Bases under Comultiplication

Published 8 Nov 2015 in math.QA and math.RT | (1511.02434v3)

Abstract: We show the positivity of the canonical basis for a modified quantum affine $\mathfrak{sl}_n$ under the comultiplication. Moreover, we establish the positivity of the i-canonical basis in [LW15] with respect to the coideal subalgebra structure.

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