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arXiv · 1009.5411

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

Kevin McGerty
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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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Kevin McGerty. 2010-09-27. On the geometric realization of the inner product and canonical basis for quantum affine $\mathfrak{sl}_n$. https://arxiv.org/abs/1009.5411

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