Publication: Trihedral Soergel bimodules
Trihedral Soergel bimodules
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Mackaay, M., Mazorchuk, V., Miemietz, V., & Tubbenhauer, D. (2020). Trihedral Soergel bimodules. Fundamenta Mathematicae, 248(3), 219–300. https://doi.org/10.4064/fm566-3-2019
Abstract
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Abstract
The quantum Satake correspondence relates dihedral Soergel bimodules to the semisimple quotient of the quantum sl2 representation category. It also establishes a precise relation between the simple transitive 2-representations of both monoidal categories, which are indexed by bicolored ADE Dynkin diagrams. Using the quantum Satake correspondence between affine A2 Soergel bimodules and the semisimple quotient of the quantum sl3 representation category, we introduce trihedral Hecke algebras and Soergel bimodules, generalizing dihedral H
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- Mackaay, Marco
- Mazorchuk, Volodymyr
- Miemietz, Vanessa
- Tubbenhauer, Daniel
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Mackaay, M., Mazorchuk, V., Miemietz, V., & Tubbenhauer, D. (2020). Trihedral Soergel bimodules. Fundamenta Mathematicae, 248(3), 219–300. https://doi.org/10.4064/fm566-3-2019