7 papers · 1 filter
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…
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…
Graded triangular bases
Jonathan Brundan
This article develops a practical technique for studying representations of -linear categories arising in the categorification of quantum groups. We work in terms of locally…