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math.RT2025
An update on Heisenberg and Kac-Moody categorification
Jonathan Brundan, Alistair Savage, Ben Webster
Heisenberg categories act on many Abelian categories appearing in type A representation theory. There is also a general procedure to construct from a Heisenberg action another acti…
math.QA2025
Categorification of quasi-split iquantum groups
Jonathan Brundan, Weiqiang Wang, Ben Webster
We introduce a new family of graded 2-categories generalizing the 2-quantum groups introduced by Khovanov, Lauda and Rouquier. We use them to categorify quasi-split iquantum groups…