# Twisted Satake Category

@article{Singh2012TwistedSC, title={Twisted Satake Category}, author={Bhairav Singh}, journal={arXiv: Representation Theory}, year={2012} }

We extend Bezrukavnikov and Finkelberg's description of the G(\C[[t]])-equivariant derived category on the affine Grassmannian to the twisted setting of Finkelberg and Lysenko. Our description is in terms of coherent sheaves on the twisted dual Lie algebra. We also extend their computation of the corresponding loop rotation equivariant derived category, which is described in terms of Harish-Chandra bimodules for the twisted dual Lie algebra. To carry this out, we have to find a substitute for…

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