Publication: Categorified quantum sl2 is an inverse limit of flag 2-categories
Categorified quantum sl2 is an inverse limit of flag 2-categories
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Beliakova, A., & Lauda, A. D. (2014). Categorified quantum sl2 is an inverse limit of flag 2-categories. Transformation Groups, 19, 1–26. https://doi.org/10.1007/s00031-014-9250-4
Abstract
Abstract
Abstract
We prove that categorified quantum sl2 is an inverse limit of Flag 2-categories defined using cohomology rings of iterated flag varieties. This inverse limit is an instance of a 2-limit in a bicategory giving rise to a universal property that characterizes the categorification of quantum sl2 uniquely up to equivalence. As an application we characterize all bimodule homomorphisms in the Flag 2-category and prove that on the homological level the categorified quantum Casimir of sl2 acts appropriately on these 2-representations.
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- Beliakova, Anna
- Lauda, Aaron D
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Citations
Beliakova, A., & Lauda, A. D. (2014). Categorified quantum sl2 is an inverse limit of flag 2-categories. Transformation Groups, 19, 1–26. https://doi.org/10.1007/s00031-014-9250-4
