Quantum Satake in type A: part I
Representation Theory
2017-01-11 v2 Quantum Algebra
Abstract
We give an interpretation of sl_n webs as morphisms between certain singular Soergel bimodules. We explain how this is a combinatorial, algebraic version of the geometric Satake equivalence (in type A). We then q-deform the construction, giving an equivalence between representations of U_q(sl_n) and certain singular Soergel bimodules for a q-deformed Cartan matrix. In this paper, we discuss the general case but prove only the case n=2,3. In the sequel we will prove the case n >= 4.
Cite
@article{arxiv.1403.5570,
title = {Quantum Satake in type A: part I},
author = {Ben Elias},
journal= {arXiv preprint arXiv:1403.5570},
year = {2017}
}
Comments
Many figures, color viewing essential, revised, essentially the published version