Seok-Jin Kang

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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.RT2024

Young wall models for the level 1 highest weight and Fock space crystals of $U_{q} (E_{6}^{(2)})$ and $U_{q} (F_{4}^{(1)})$

Shaolong Han, Yuanfeng Jin, Seok-Jin Kang +1

In this paper we construct Young wall models for the level $1$ highest weight and Fock space crystals of quantum affine algebras in types $E_{6}^{(2)}$ and $F_{4}^{(1)}$ . Our starting…

math.RT2024

Highest weight modules over Borcherds-Bozec superalgebras and their character formula

Zhaobing Fan, Jiaqi Huang, Seok-Jin Kang +1

We present and prove the Weyl-Kac type character formula for the irreducible highest weight modules over Borcherds-Bozec superalgebras with dominant integral highest weights.

Categorification of quantum Borcherds-Bozec algebras

Young wall models for the level 1 highest weight and Fock space crystals of Uq​(E6(2)​) and Uq​(F4(1)​)

Highest weight modules over Borcherds-Bozec superalgebras and their character formula

Young wall models for the level 1 highest weight and Fock space crystals of $U_{q} (E_{6}^{(2)})$ and $U_{q} (F_{4}^{(1)})$