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Categorification of
the internal braid group action for quantum groups, I:
2-functoriality
Michael T. Abram, Laffite Lamberto-Egan, Aaron D. Lauda and David E. V. Rose |
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Vol. 328 (2024), No. 1, 1–75
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Abstract |
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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. |
Keywords
categorification, higher representation theory, internal
braid group, 2-Kac–Moody algebra, Chuang–Rouquier complexes
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Mathematical Subject Classification
Primary: 17B37, 20F36
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Milestones
Received: 28 February 2023
Revised: 19 October 2023
Accepted: 14 December 2023
Published: 16 April 2024
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Authors |
| Michael T. Abram | |
| Department of Mathematics University of Southern California Los Angeles, CA United States |
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| Laffite Lamberto-Egan | |
| Department of Mathematics University of Southern California Los Angeles, CA United States |
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| Aaron D. Lauda | |
| Department of Mathematics and
Department of Physics University of Southern California Los Angeles, CA United States |
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| David E. V. Rose | |
| Department of Mathematics University of North Carolina at Chapel Hill Chapel Hill, NC United States |
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| © 2024 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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