CV HAL - Abel Lacabanne

Publications

Two-row Delta Springer varieties

Abel Lacabanne , Pedro Vaz , Arik Wilbert

Algebraic Combinatorics, 2025, 8 (4), pp.925-953. ⟨10.5802/alco.435⟩

Article dans une revue hal-04696282v1

Framization of Schur-Weyl duality and Yokonuma-Hecke type algebras

Abel Lacabanne , Loïc Poulain D’andecy

Annals of Representation Theory, 2025, 2 (1), pp.1-35. ⟨10.5802/art.20⟩

Article dans une revue hal-04696279v1

Higher Rank Askey-Wilson Algebras as Skein Algebras

Juliet Cooke , Abel Lacabanne

Annales de l'Institut Fourier, In press, pp.1-63. ⟨10.5802/aif.3729⟩

Article dans une revue hal-04226693v1

A formula to evaluate type A webs and link polynomials

Abel Lacabanne , Daniel Tubbenhauer , Pedro Vaz

Arkiv för Matematik, 2024, 62 (1), pp.83-101. ⟨10.4310/arkiv.2024.v62.n1.a5⟩

Article dans une revue hal-04225977v1

Asymptotics in finite monoidal categories

Abel Lacabanne , Daniel Tubbenhauer , Pedro Vaz

Proceedings of the American Mathematical Society, Series B, 2023, 10 (34), pp.398-412. ⟨10.1090/bproc/198⟩

Article dans une revue hal-04226705v1

Annular webs and Levi subalgebras

Abel Lacabanne , Daniel Tubbenhauer , Pedro Vaz

Journal of Combinatorial Algebra, 2023, 7 (3), pp.283-326. ⟨10.4171/jca/76⟩

Article dans une revue hal-04225965v1

On Calogero--Moser cellular characters for imprimitive complex reflection groups

Nicolas Jacon , Abel Lacabanne

Tunisian Journal of Mathematics, 2023, 5 (4), pp.605-625. ⟨10.2140/tunis.2023.5.605⟩

Article dans une revue hal-03628837v2

Schur-Weyl duality, Verma modules, and row quotients of Ariki-Koike algebras

Abel Lacabanne , Pedro Vaz

Pacific Journal of Mathematics, 2021, 311 (1), pp.113-133. ⟨10.2140/pjm.2021.311.113⟩

Article dans une revue hal-04225924v1

Tensor product categorifications, Verma modules and the blob 2-category

Abel Lacabanne , Grégoire Naisse , Pedro Vaz

Quantum Topology, 2021, 12 (4), pp.705-812. ⟨10.4171/QT/156⟩

Article dans une revue hal-04225936v1

Fourier matrices for $G(d,1,n)$ from quantum general linear groups

Abel Lacabanne

Journal of Algebra, 2021, 586, pp.433-466. ⟨10.1016/j.jalgebra.2021.06.034⟩

Article dans une revue hal-04225949v1

Drinfeld double of quantum groups, tilting modules and $\mathbb{Z}$-modular data associated to complex reflection groups

Abel Lacabanne

Journal of Combinatorial Algebra, 2020, 4 (2020) (no. 3), pp. 269-323. ⟨10.4171/JCA/45⟩

Article dans une revue hal-01827849v3

On a conjecture about cellular characters for the complex reflection group $G(d,1,n)$

Abel Lacabanne

Annales Mathématiques Blaise Pascal, 2020, Tome 27 (2020) (no. 1), pp. 37-64. ⟨10.5802/ambp.390⟩

Article dans une revue hal-04225881v1

Crossed $S$-matrices and Fourier matrices for Coxeter groups with automorphism

Abel Lacabanne

Journal of Algebra, 2020, 558, pp. 550-581. ⟨10.1016/j.jalgebra.2019.10.013⟩

Article dans une revue hal-02047060v1

Slightly degenerate categories and $\mathbb{Z}$-modular data

Abel Lacabanne

International Mathematics Research Notices, 2019, 2021 (Issue 12), pp. 9340-9374. ⟨10.1093/imrn/rnz105⟩

Article dans une revue hal-01827846v3

On the computation of the canonical basis for irreducible highest weight $U_q ( \mathfrak{gl}_{\infty})$-module

Nicolas Jacon , Abel Lacabanne

2026

Pré-publication, Document de travail (preprint/prepublication) hal-05476994v1

A basis and Schur-Weyl duality for the loop Hecke algebra

Geoffrey Janssens , Abel Lacabanne , Léo Schelstraete , Pedro Vaz

2025

Pré-publication, Document de travail (preprint/prepublication) hal-05238169v1

On detection probabilities of link invariants

Abel Lacabanne , Daniel Tubbenhauer , Pedro Vaz , Victor L Zhang

2025

Pré-publication, Document de travail (preprint/prepublication) hal-05246069v1

On Hecke and asymptotic categories for complex reflection groups

Abel Lacabanne , Daniel Tubbenhauer , Pedro Vaz

2024

Pré-publication, Document de travail hal-04696284v1

Asymptotics in infinite monoidal categories

Abel Lacabanne , Daniel Tubbenhauer , Pedro Vaz

2024

Pré-publication, Document de travail hal-04696281v1

Big data approach to Kazhdan-Lusztig polynomials

Abel Lacabanne , Daniel Tubbenhauer , Pedro Vaz

2024

Pré-publication, Document de travail (preprint/prepublication) hal-04817065v1

Verma Howe duality and LKB representations

Abel Lacabanne , Daniel Tubbenhauer , Pedro Vaz

2022

Pré-publication, Document de travail (preprint/prepublication) hal-04226701v1

Catégorification de données Z-modulaires et groupes de réflexions complexes

Abel Lacabanne

Mathématiques générales [math.GM]. Université Montpellier, 2018. Français. ⟨NNT : 2018MONTS045⟩

Thèse tel-02114250v1

Abel Lacabanne

Domaines de recherche

Publications

Publications

Two-row Delta Springer varieties

Framization of Schur-Weyl duality and Yokonuma-Hecke type algebras

Higher Rank Askey-Wilson Algebras as Skein Algebras

A formula to evaluate type A webs and link polynomials

Asymptotics in finite monoidal categories

Annular webs and Levi subalgebras

On Calogero--Moser cellular characters for imprimitive complex reflection groups

Schur-Weyl duality, Verma modules, and row quotients of Ariki-Koike algebras

Tensor product categorifications, Verma modules and the blob 2-category

Fourier matrices for $G(d,1,n)$ from quantum general linear groups

Drinfeld double of quantum groups, tilting modules and $\mathbb{Z}$-modular data associated to complex reflection groups

On a conjecture about cellular characters for the complex reflection group $G(d,1,n)$

Crossed $S$-matrices and Fourier matrices for Coxeter groups with automorphism

Slightly degenerate categories and $\mathbb{Z}$-modular data

On the computation of the canonical basis for irreducible highest weight $U_q ( \mathfrak{gl}_{\infty})$-module

A basis and Schur-Weyl duality for the loop Hecke algebra

On detection probabilities of link invariants

On Hecke and asymptotic categories for complex reflection groups

Asymptotics in infinite monoidal categories

Big data approach to Kazhdan-Lusztig polynomials

Verma Howe duality and LKB representations

Catégorification de données Z-modulaires et groupes de réflexions complexes