10 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…
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…
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…
Odd Grassmannian bimodules and derived equivalences for spin symmetric groups
Jonathan Brundan, Alexander Kleshchev
We prove odd analogs of results of Chuang and Rouquier on sl(2)-categorification. Combined also with recent work of the second author with Livesey, this allows us to complete the p…
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…