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Article

Pursuing the double affine Grassmannian II. Convolution

Advances in Mathematics. 2012. No. 230. P. 414-432.
Finkelberg M. V., Braverman A.

This is the second paper of the series, started by Braverman-Finkelberg (2010) which describes a conjectural analogue of the affine Grassmannian for affine Kac-Moody groups (also known as double affine Grassmannian). The current paper is dedicated to describing a conjectural analogue of the convolution diagram for the double affine Grassmannian. In case our group is the special linear group, our conjectures can be derived from the work of Nakajima.