79 citations · 192 across the 7 of their papers we have counts for
8 papers
Super Kac-Moody 2-categories
Jonathan Brundan, Alexander P. Ellis
We introduce generalizations of Kac-Moody 2-categories in which the quiver Hecke algebras of Khovanov, Lauda and Rouquier are replaced by the quiver Hecke superalgebras of Kang, Ka…
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…
Quantum gl(1|1) and tangle Floer homology
Alexander P. Ellis, Ina Petkova, Vera Vértesi
We identify the Grothendieck group of the tangle Floer dg algebra with a tensor product of certain representations. Under this identification, up to a scalar factor,…
The differential graded odd nilHecke algebra
Alexander P. Ellis, You Qi
We equip the odd nilHecke algebra and its associated thick calculus category with digrammatically local differentials. The resulting differential graded Grothendieck groups are iso…
An odd categorification of quantum sl(2)
Alexander P. Ellis, Aaron D. Lauda
We define a 2-category that categorifies the covering Kac-Moody algebra for sl(2) introduced by Clark and Wang. This categorification forms the structure of a super-2-category as f…
The odd Littlewood-Richardson rule
Alexander P. Ellis
In previous work with Mikhail Khovanov and Aaron Lauda we introduced two odd analogues of the Schur functions: one via the combinatorics of Young tableaux (odd Kostka numbers) and…
The odd nilHecke algebra and its diagrammatics
Alexander P. Ellis, Mikhail Khovanov, Aaron D. Lauda
We introduce an odd version of the nilHecke algebra and develop an odd analogue of the thick diagrammatic calculus for nilHecke algebras. We graphically describe idempotents which…
The Hopf algebra of odd symmetric functions
Alexander P. Ellis, Mikhail Khovanov
We consider a q-analogue of the standard bilinear form on the commutative ring of symmetric functions. The q=-1 case leads to a Z-graded Hopf superalgebra which we call the algebra…