On the geometric realization of the inner product and canonical basis for quantum affine $\mathfrak{sl}_n$
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.
| Main Author: | |
|---|---|
| Format: | Journal article |
| Language: | English |
| Published: |
2010
|