Braid group action on extended crystals

Euiyong Park

doi:10.1016/j.aim.2023.109193

Braid group action on extended crystals

Euiyong Park

Department of Mathematics

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

Abstract

In the paper, we prove that there exists a braid group action on the extended crystal Bˆ(∞) of finite type. The extended crystal Bˆ(∞) and its braid group action are investigated from the viewpoint of crystal similarity. We then interpret the braid group action on Bˆ(∞) in the Hernandez-Leclerc category C_g⁰.

Original language	English
Article number	109193
Journal	Advances in Mathematics
Volume	429
DOIs	https://doi.org/10.1016/j.aim.2023.109193
State	Published - 15 Sep 2023

Keywords

Braid groups
Extended crystals
Hernandez-Leclerc categories
Quantum affine algebras

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10.1016/j.aim.2023.109193

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title = "Braid group action on extended crystals",

abstract = "In the paper, we prove that there exists a braid group action on the extended crystal Bˆ(∞) of finite type. The extended crystal Bˆ(∞) and its braid group action are investigated from the viewpoint of crystal similarity. We then interpret the braid group action on Bˆ(∞) in the Hernandez-Leclerc category Cg0.",

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AB - In the paper, we prove that there exists a braid group action on the extended crystal Bˆ(∞) of finite type. The extended crystal Bˆ(∞) and its braid group action are investigated from the viewpoint of crystal similarity. We then interpret the braid group action on Bˆ(∞) in the Hernandez-Leclerc category Cg0.

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KW - Hernandez-Leclerc categories

KW - Quantum affine algebras

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Braid group action on extended crystals

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Keywords

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