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On the geometric realization of the inner product and canonical basis for quantum affine $\mathfrak{sl}_n$
Published 27 Sep 2010 in math.QA | (1009.5411v1)
Abstract: We give a geometric interpretation of the inner product on the modified quantum group of $\hat{\mathfrak{sl}}_n$. We also give some applications of this interpretation, including a positivity result for the inner product, and a new geometric construction of the canonical basis.
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