10 citations · 18 across the 14 of their papers we have counts for
14 papers
On detection probabilities of link invariants
Tuomas Kelomäki, Abel Lacabanne, Daniel Tubbenhauer +2
We prove that, for many standard link invariants, both the proportion of distinct invariant values and the detection probability among prime alternating links with at most n crossi…
A basis and Schur-Weyl duality for the loop Hecke algebra
Geoffrey Janssens, Abel Lacabanne, Léo Schelstraete +1
The loop Hecke algebra is a generalization of the Hecke algebra to the loop braid group, introduced by Damiani, Martin and Rowell. We give a new presentation of the loop Hecke alge…
Big data approach to Kazhdan-Lusztig polynomials
Abel Lacabanne, Daniel Tubbenhauer, Pedro Vaz
We investigate the structure of Kazhdan-Lusztig polynomials of the symmetric group by leveraging computational approaches from big data, including exploratory and topological data…
On Hecke and asymptotic categories for a family of complex reflection groups
Abel Lacabanne, Daniel Tubbenhauer, Pedro Vaz
Generalizing the dihedral picture for G(M,M,2), we construct Hecke algebras (and present a strategy for constructing Hecke categories) and asymptotic counterparts. We think of thes…
Two-row Delta Springer varieties
Abel Lacabanne, Pedro Vaz, Arik Wilbert
We study the geometry and topology of -Springer varieties associated with two-row partitions. These varieties were introduced in recent work by Griffin-Levinson-Woo to give a ge…
Asymptotics in infinite monoidal categories
Abel Lacabanne, Daniel Tubbenhauer, Pedro Vaz
We discuss formulas for the asymptotic growth rate of the number of summands in tensor powers in certain (finite or infinite) monoidal categories. Our focus is on monoidal categori…
Framization of Schur--Weyl duality and Yokonuma--Hecke type algebras
Abel Lacabanne, Loïc Poulain d'Andecy
We study framizations of algebras through the idea of Schur--Weyl duality. We provide a general setting in which framizations of algebras such as the Yokonuma--Hecke algebra natura…
Asymptotics in finite monoidal categories
Abel Lacabanne, Daniel Tubbenhauer, Pedro Vaz
We give explicit formulas for the asymptotic growth rate of the number of summands in tensor powers in certain monoidal categories with finitely many indecomposable objects, and re…
A formula to evaluate type A webs and link polynomials
Abel Lacabanne, Daniel Tubbenhauer, Pedro Vaz
We give a closed formula to evaluate exterior webs (also called MOY webs) and the associated Reshetikhin-Turaev link polynomials.
Verma Howe duality and LKB representations
Abel Lacabanne, Daniel Tubbenhauer, Pedro Vaz
We establish a version of Howe duality that involves a tensor product of Verma modules. Surprisingly, this duality leaves the realm of lowest and highest weight modules. We quantiz…
Higher Rank Askey-Wilson Algebras as Skein Algebras
Juliet Cooke, Abel Lacabanne
In this paper we give a topological interpretation and diagrammatic calculus for the rank Askey-Wilson algebra by proving there is an explicit isomorphism with the Kauffman…
Annular webs and Levi subalgebras
Abel Lacabanne, Daniel Tubbenhauer, Pedro Vaz
For any Levi subalgebra of the form we construct a quotient of the category of…
Tensor product categorifications, Verma modules and the blob 2-category
Abel Lacabanne, Grégoire Naisse, Pedro Vaz
We construct a dg-enhancement of KLRW algebras that categorifies the tensor product of a universal Verma module and several integrable irreducible modules. When t…
Schur-Weyl duality, Verma modules, and row quotients of Ariki-Koike algebras
Abel Lacabanne, Pedro Vaz
We prove a Schur-Weyl duality between the quantum enveloping algebra of and certain quotient algebras of Ariki-Koike algebras, which we give explicitly. The duali…