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Regular version of the site

Article

Coherent IC-sheaves on type A_n affine Grassmannians and dual canonical basis of affine type A_1

Representation Theory. 2021. Vol. 25. P. 67-89.
Michael Finkelberg, Fujita R.

The convolution ring of loop rotation equivariant K-homology of the affine Grassmannian of GL(n) was identified with
a quantum unipotent cell of the loop group of SL(2) by Cautis and Williams. We identify the basis formed by
the classes of irreducible equivariant perverse coherent sheaves with the dual
canonical basis of the quantum unipotent cell.