Affinizations, R-matrices and reflection functors

Masaki Kashiwara; Myungho Kim; Se jin Oh; Euiyong Park

doi:10.1016/j.aim.2024.109598

Affinizations, R-matrices and reflection functors

Masaki Kashiwara, Myungho Kim, Se jin Oh, Euiyong Park

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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.

Original language	English
Article number	109598
Journal	Advances in Mathematics
Volume	443
DOIs	https://doi.org/10.1016/j.aim.2024.109598
Publication status	Published - May 2024

Bibliographical note

Publisher Copyright:
© 2024 Elsevier Inc.

Keywords

Affinization
Localization
Quiver Hecke algebra
R-matrices
Reflection

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10.1016/j.aim.2024.109598

Cite this

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AB - 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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KW - Quiver Hecke algebra

KW - R-matrices

KW - Reflection

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Affinizations, R-matrices and reflection functors

Abstract

Bibliographical note

Keywords

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