3 citations · 3 across the 6 of their papers we have counts for
8 papers
Superalgebra deformations of web categories: Affine and cyclotomic webs
Nicholas Davidson, Jonathan R. Kujawa, Robert Muth
Let be a characteristic zero domain. We define and study a diagrammatic monoidal -linear supercategory associated to any locally u…
Superalgebra deformations of web categories: finite webs
Nicholas Davidson, Jonathan R. Kujawa, Robert Muth +1
Let be a characteristic zero domain. For a locally unital -superalgebra with distinguished idempotents and even subalgebra ,…
Howe Duality of Type P
Nicholas Davidson, Jonathan R. Kujawa, Robert Muth
We establish classical and categorical Howe dualities between the Lie superalgebras and , for . We also describe a presentation via g…
Webs of Type P
Nicholas Davidson, Jonathan R. Kujawa, Robert Muth
This paper introduces type P web supercategories. They are defined as diagrammatic monoidal -linear supercategories via generators and relations. We study the structure of these…
Quantum Webs of Type Q
Gordon C. Brown, Nicholas J. Davidson, Jonathan R. Kujawa
Webs are combinatorial diagrams used to encode homomorphisms between representations of Lie (super)algebras and related objects. This paper extends the theory of webs to the quantu…
Type C blocks of super category O
Jonathan Brundan, Nicholas Davidson
We show that the blocks of category O for the Lie superalgebra q_n associated to half-integral weights carry the structure of a tensor product categorification for the infinite ran…
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,…