Quantum Satake in type . Part I
Ben Elias
University of Oregon, Eugene, USA
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Abstract
We give an interpretation of -webs as morphisms between certain singular Soergel bimodules. We explain how this is a combinatorial, algebraic version of the geometric Satake equivalence (in type ). We then -deform the construction, giving an equivalence between representations of and certain singular Soergel bimodules for a -deformed Cartan matrix.
In this paper, we discuss the general case but prove only the case . In the sequel we will prove .
Cite this article
Ben Elias, Quantum Satake in type . Part I. J. Comb. Algebra 1 (2017), no. 1, pp. 63–125
DOI 10.4171/JCA/1-1-4