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arXiv · 2304.00238

Affinizations, R-matrices and reflection functors

Masaki Kashiwara·Myungho Kim·Se-jin Oh·Euiyong Park
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Abstract

In this paper we establish affinizations and R-matrices in the language of pro-objects, and as an application, we construct reflection functors over the localizations of quiver Hecke algebras of arbitrary finite types. This reflection functor categorifies the braid group action on the half of a quantum group and the Saito reflection.

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Masaki Kashiwara, Myungho Kim, Se-jin Oh, Euiyong Park. 2023-04-01. Affinizations, R-matrices and reflection functors. https://doi.org/doi.org/10.1016%2Fj.aim.2024.109598

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