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• W1716699693 abstract "We give a diagrammatic presentation for the category of Soergel bimodules for the dihedral group $W$ . The (two-colored) Temperley–Lieb category is embedded inside this category as the degree $0$ morphisms between color-alternating objects. The indecomposable Soergel bimodules are the images of Jones–Wenzl projectors. When $W$ is infinite, the parameter $q$ of the Temperley–Lieb algebra may be generic, yielding a quantum version of the geometric Satake equivalence for $mathfrak{sl}_{2}$ . When $W$ is finite, $q$ must be specialized to an appropriate root of unity, and the negligible Jones–Wenzl projector yields the Soergel bimodule for the longest element of $W$ ." @default.
• W1716699693 created "2016-06-24" @default.
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• W1716699693 date "2015-09-22" @default.
• W1716699693 modified "2023-10-15" @default.
• W1716699693 title "The two-color Soergel calculus" @default.
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• W1716699693 doi "https://doi.org/10.1112/s0010437x15007587" @default.
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