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Whittaker coinvariants for
Jonathan Brundan, Simon M. Goodwin
Let be the (finite) -algebra attached to the principal nilpotent orbit in the general linear Lie superalgebra . In this paper we study…
Type A blocks of super category O
Jonathan Brundan, Nicholas Davidson
We show that every integral block of category O for the general linear Lie superalgebra is equivalent to a corresponding block of category O for the queer Lie superalgebra. This im…
Categorical actions and crystals
Jonathan Brundan, Nicholas Davidson
This is an expository article developing some aspects of the theory of categorical actions of Kac-Moody algebras in the spirit of works of Chuang-Rouquier, Khovanov-Lauda, Webster,…
Monoidal supercategories
Jonathan Brundan, Alexander P. Ellis
In the literature, one finds several competing notions for the super (i.e., Z/2-graded) analog of a monoidal category. The goal of this paper is to clarify these definitions and th…