38 citations · 108 across the 18 of their papers we have counts for
6 papers · 1 filter
Some remarks about the faithfulness of the Burau representation of Artin--Tits groups
Asilata Bapat, Hoel Queffelec
We discuss the extension of the faithfulness question for the Burau representation of braid groups to the case of Artin--Tits groups. We prove that the Burau representation is not…
Khovanov-Seidel braid representation
Hoel Queffelec
These are lecture notes from a lecture series given at CIRM in the Fall 2023. They give a down-to-earth introduction to Khovanov and Seidel's categorical representation of Artin-Ti…
Extremal weight projectors II
Hoel Queffelec, Paul Wedrich
In previous work, we have constructed diagrammatic idempotents in an affine extension of the Temperley-Lieb category, which describe extremal weight projectors for sl(2), and which…
Extremal weight projectors
Hoel Queffelec, Paul Wedrich
We introduce a quotient of the affine Temperley-Lieb category that encodes all weight-preserving linear maps between finite-dimensional sl(2)-representations. We study the diagramm…
An equivalence between truncations of categorified quantum groups and Heisenberg categories
Hoel Queffelec, Alistair Savage, Oded Yacobi
We introduce a simple diagrammatic 2-category that categorifies the image of the Fock space representation of the Heisenberg algebra and the basic representation of $…
Mixed quantum skew Howe duality and link invariants of type A
Hoel Queffelec, Antonio Sartori
We define a ribbon category , depending on a parameter , which encompasses Cautis, Kamnitzer and Morrison's spider category, and describes for the monoid…