22 citations · 65 across the 7 of their papers we have counts for
9 papers
A categorification of twisted Heisenberg algebras
David Hill, Joshua Sussan
We categorify a quantized Heisenberg algebra associated to a finite subgroup of SL(2,C).
Quantum supergroups V. Braid group action
Sean Clark, David Hill
We construct a braid group action on quantum covering groups. We further use this action to construct a PBW basis for the positive half in finite type which is pairwise-orthogonal…
Quantum Shuffles and Quantum Supergroups of Basic Type
Sean Clark, David Hill, Weiqiang Wang
We initiate the study of several distinguished bases for the positive half of a quantum supergroup associated to a general super Cartan datum of…
Quantum supergroups II. Canonical basis
Sean Clark, David Hill, Weiqiang Wang
Following Kashiwara's algebraic approach, we construct crystal bases and canonical bases for quantum supergroups with no isotropic odd roots and for their integrable modules.
Quantum Supergroups I. Foundations
Sean Clark, David Hill, Weiqiang Wang
In this part one of a series of papers, we introduce a new version of quantum covering and super groups with no isotropic odd simple root, which is suitable for the studies of inte…
Categorification of quantum Kac-Moody superalgebras
David Hill, Weiqiang Wang
We introduce a non-degenerate bilinear form and use it to provide a new characterization of quantum Kac-Moody superalgebras with no isotropic odd simple roots. We show that the spi…
Representations of Quiver Hecke Algebras via Lyndon Bases
David Hill, George Melvin, Damien Mondragon
A new class of algebras have been introduced by Khovanov and Lauda and independently by Rouquier. These algebras categorify one-half of the Quantum group associated to arbitrary Ca…
The Khovanov-Lauda 2-category and categorifications of a level two quantum sl(n) representation
David Hill, Joshua Sussan
We construct 2-functors from a 2-category categorifying quantum sl(n) to 2-categories categorifying the irreducible representation of highest weight
Cartan Invariants of Symmetric Groups and Iwahori-Hecke Algebras
Christine Bessenrodt, David Hill
Külshammer, Olsson and Robinson conjectured that a certain set of numbers determined the invariant factors of the -Cartan matrix for (equivalently, the invariant factor…