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arXiv · 2205.04598

Categorification of the internal braid group action for quantum groups I: 2-functoriality

Michael T. Abram·Laffite Lamberto-Egan·Aaron D. Lauda·David E. V. Rose
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Abstract

We define 2-functors on the categorified quantum group of a simply-laced Kac-Moody algebra that induce Lusztig's internal braid group action at the level of the Grothendieck group.

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Michael T. Abram, Laffite Lamberto-Egan, Aaron D. Lauda, David E. V. Rose. 2022-05-09. Categorification of the internal braid group action for quantum groups I: 2-functoriality. https://doi.org/10.2140/pjm.2024.328.1

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