Young Rock Kim

collaborators

4 papers

math.QA2025

Quantum groups of Borcherds-Cartan type and Khovanov-Lauda-Rouquier algebras

Seok-Jin Kang, Young Rock Kim, Bolun Tong

We categorify a class of quantum groups associated with quivers, possibly with loops, by constructing the corresponding Khovanov-Lauda-Rouquier algebras (KLR) algebras $R$ . We prov…

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.QA2024

Perfect basis theory for quantum Borcherds-Bozec algebras

Zhaobing Fan, Shaolong Han, Seok-Jin Kang +1

In this paper, we develop the perfect basis theory for quantum Borcherds-Bozec algebras $U_{q} (g)$ and their irreducible highest weight modules $V (λ)$ . We show that the l…

math.QA2024

A new Young wall realization of $B (λ)$ and $B (\infty)$

Zhaobing Fan, Shaolong Han, Seok-Jin Kang +1

Using new combinatorics of Young walls, we give a new construction of the arbitrary level highest weight crystal $B (λ)$ for the quantum affine algebras of types $A_{2 n}^{(2)}$ , $D^…

Quantum groups of Borcherds-Cartan type and Khovanov-Lauda-Rouquier algebras

Categorification of quantum Borcherds-Bozec algebras

Perfect basis theory for quantum Borcherds-Bozec algebras

A new Young wall realization of B(λ) and B(∞)

A new Young wall realization of $B (λ)$ and $B (\infty)$