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math.QA2025
Nil-Brauer categorifies the split iquantum group of rank one
Jonathan Brundan, Weiqiang Wang, Ben Webster
We prove that the Grothendieck ring of the monoidal category of finitely generated graded projective modules for the nil-Brauer category is isomorphic to an integral form of the sp…
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…
math.QA2024
The -Schur category and polynomial tilting modules for quantum
Jonathan Brundan
The -Schur category is a -linear monoidal category closely related to the -Schur algebra. We explain how to construct it from coordinate algebras of qua…