320 citations · 1.6k across the 58 of their papers we have counts for
62 papers
Yangians and degenerate affine Schur algebras
Jonathan Brundan, Viacheslav Ivanov
Drinfeld's degenerate affine analog of Schur-Weyl duality relates representations of the degenerate affine Hecke algebra to representations of the Yangian . One way to…
Isomeric Heisenberg and Kac-Moody categorification I
Jonathan Brundan, Alistair Savage
We develop a general framework for studying Abelian categories arising in isomeric representation theory, that is, representation theory broadly related to the supergroup Q(n). In…
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…
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…
Cyclotomic nil-Brauer and Singular Soergel bimodules of type D
Elijah Bodish, Jonathan Brundan, Ben Elias
We introduce a new family of monoidal categories which are cyclotomic quotients of the nil-Brauer category. We construct a monoidal functor from the cyclotomic nil-Brauer category…
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…