Seok-Jin Kang

activity

19972022

most citedCategorification of Highest Weight Modules via Khovanov-Lauda-Rouquier Algebras

114 citations · 510 across the 61 of their papers we have counts for

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Showing 2017Show all

3 papers · 1 filter

math.RT2017★ 2 cited

Ringel-Hall algebra construction of quantum Borcherds-Bozec algebras

Seok-Jin Kang

We give the Ringel-Hall algebra construction of the positive half of quantum Borcherds-Bozec algebras as the generic composition algebras of quivers with loops.

math.RT2017

Young wall model for $A_{2}^{(2)}$ -type adjoint crystals

Seok-Jin Kang

We construct a Young wall model for higher level $A_{2}^{(2)}$ -type adjoint crystals. The Young walls and reduced Young walls are defined in connection with affin energy function. We…

math.RT2017

Borcherds-Bozec algebras, root multiplicities and the Schofield construction

Seok-Jin Kang

Using the twisted denominator identity, we derive a closed form root multiplicity formula for all symmetrizable Borcherds-Bozec algebras and discuss its applications including the…

Ringel-Hall algebra construction of quantum Borcherds-Bozec algebras

Young wall model for A2(2)​-type adjoint crystals

Borcherds-Bozec algebras, root multiplicities and the Schofield construction

Young wall model for $A_{2}^{(2)}$ -type adjoint crystals