Bolun Tong

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20202025

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5 papers · 1 filter

math.RT2024

Quiver Hecke algebras for Borcherds-Cartan datum II

Bolun Tong, Wan Wu

We give the crystal structure of the Grothendieck group $G_{0} (R)$ of irreducible modules over the quiver Hecke algebra $R$ constructed in \cite{TW2023}. This leads to the categorifi…

math.RT2024

Categorification of quantum Borcherds-Bozec algebras

Seok-Jin Kang, Young Rock Kim, Bolun Tong

We categorify the quantum Borcherds-Bozec algebras by constructing their associated Khovanov-Lauda-Rouquier algebras.

math.RT2022

Quiver Hecke algebras for Borcherds-Cartan datum

Bolun Tong, Wan Wu

We introduce a family of quiver Hecke algebras which give a categorification of quantum Borcherds algebra associated to an arbitrary Borcherds-Cartan datum.

math.RT2020

Abstract crystals for quantum Borcherds-Bozec algebras

Zhaobing Fan, Seok-Jin Kang, Young Rock Kim +1

In this paper, we develop the theory of abstract crystals for quantum Borcherds-Bozec algebras. Our construction is different from the one given by Bozec. We further prove the crys…

math.RT2020

Classical limit of quantum Borcherds-Bozec algebras

Zhaobing Fan, Seok-Jin Kang, Young-Rock Kim +1

Let $g$ be a Borcherds-Bozec algebra, $U (g)$ be its universal enveloping algebra and $U_{q} (g)$ be the corresponding quantum Borcherds-Bozec algebr…