4 papers
Classifying submodules over monoidal categories
Hadi Salmasian, Alistair Savage, Yaolong Shen
We study the classification of submodules of module categories over monoidal categories, extending ideas of Coulembier on the classification of tensor ideals in monoidal categories…
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…
Bubbles in the affine Brauer and Kauffman categories
Alistair Savage, Ben Webster
We introduce a generating function approach to the affine Brauer and Kauffman categories and show how it allows one to efficiently recover important sets of relations in these cate…
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…