On the geometric realization of the inner product and canonical basis for quantum affine $\mathfrak{sl}_n$

preprint2010arXivOpen access

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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On the geometric realization of the inner product and canonical basis for quantum affine $\mathfrak{sl}_n$

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On the geometric realization of the inner product and canonical basis for quantum affine sln\mathfrak{sl}_nsln​

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On the geometric realization of the inner product and canonical basis for quantum affine $\mathfrak{sl}_n$