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arXiv · 1205.3608

Categorified quantum sl(2) is an inverse limit of flag 2-categories

Anna Beliakova·Aaron D. Lauda
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Abstract

We prove that categorified quantum sl(2) 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 sl(2) uniquely up to equivalence. As an application we characterize all bimodule homomorphisms in the Flag 2-category and prove that the categorified quantum Casimir of sl(2) acts appropriately on these 2-representations.

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Anna Beliakova, Aaron D. Lauda. 2013-07-30. Categorified quantum sl(2) is an inverse limit of flag 2-categories. https://doi.org/10.1007/s00031-014-9250-4

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