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- Title
- Localizations for quiver Hecke algebras III
- KIAS Author
- Kashiwara, Masaki
- Journal
- MATHEMATISCHE ANNALEN, 2024
- Archive
-
- Abstract
- Let R be a quiver Hecke algebra, and let C-w,C-v be the category of finite-dimensional graded R-module categorifying a q-deformation of the doubly-invariant algebra N ' C-(w)[N](N(v)). In this paper, we prove that the localization (C) over tilde (w,v) of the category C-w,C-v can be obtained as the localization by right braiders arising from determinantial modules. As its application, we show several interesting properties of the localized category (C) over tilde (w,v) including the right rigidity.
