Haruto Murata
Published 2025-06-20Version 1
We construct reflection functors for quiver Hecke algebras associated with arbitrary symmetrizable Kac-Moody algebras, from a higher representation-theoretic viewpoint. These functors provide a categorification of Lusztig's braid group action on the quantum group. Similar functors were recently constructed independently by Kashiwara-Kim-Oh-Park via a different approach.
Comments: Draft version. An expanded version is in preparation
Quiver Hecke algebras and 2-Lie algebras
Localizations for quiver Hecke algebras II
Quiver Hecke algebras for Borcherds-Cartan datum
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