15 citations · 97 across the 32 of their papers we have counts for
32 papers
Integrable multi-species SSEP with reactive particle species
Mathieu Dabrowski, Loïc Poulain d'Andecy, Eric Ragoucy
We investigate integrable exclusion Markov processes constructed from set-theoretical solutions of the Yang-Baxter Equation (YBE) that generalise the multi-species Symmetric Simple…
Pascal, Catalan, Motzkin triangles and tensor product multiplicities
L. Poulain d'Andecy
The main purpose of this note is to provide an elementary discussion of some simple triangles of integer numbers in particular through their connections with representation theory…
Kazhdan-Lusztig bases of parabolic Hecke algebras and applications to Schur-Weyl duality
Jeremie Guilhot, Loic Poulain d'Andecy
With an eye to applications to type A and Schur-Weyl duality, we study Kazhdan-Lusztig bases for a general parabolic Hecke algebra. Parabolic Hecke algebras are idempotent subalgeb…
The orientifold Temperley--Lieb algebra
Chris Bowman, Zajj Daugherty, Maud De Visscher +2
We construct gradings on the simple modules of 2-boundary Temperley--Lieb algebras and symplectic blob algebras by realising the latter algebras as quotients of Varagnolo--Vasserot…
Polynomials of the Askey Scheme as Clebsch-Gordan Coefficients
Nicolas Crampé, Loïc Poulain d'Andecy, Luc Vinet
Given a semi-simple algebra equipped with a coproduct, the Clebsch-Gordan coefficients are the elements of the transition matrices between direct product representation and its irr…
Little -Jacobi polynomials and symmetry breaking operators for
Quentin Labriet, Loïc Poulain d'Andecy
This paper presents explicit formulas for intertwining operators of the quantum group acting on tensor products of Verma modules. We express a first set of intertwining…
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…
Fused Hecke algebra and one-boundary algebras
L. Poulain d'Andecy, M. Zaimi
This paper gives an algebraic presentation of the fused Hecke algebra which describes the centraliser of tensor products of the -representation labelled by a one-row par…
Identities for Rankin-Cohen brackets, Racah coefficients and associativity
Quentin Labriet, Loic Poulain d'Andecy
We prove an infinite family of identities satisfied by the Rankin-Cohen brackets involving the Racah polynomials. A natural interpretation in the representation theory of sl(2) is…
Centralisers and Hecke algebras in Representation Theory, with applications to Knots and Physics
L. Poulain d'Andecy
This document is a thesis presented for the ``Habilitation à diriger des recherches''. The first chapter provides some background and sketch the story of the classical Schur-Weyl d…
Realisations of Racah algebras using Jacobi operators and convolution identities
Q. Labriet, L. Poulain d'Andecy
Using the representation theory of sl(2) and an appropriate model for tensor product of lowest weight Verma modules, we give a realisation first of the Hahn algebra, and then of th…
The Higher-Rank Askey-Wilson Algebra and Its Braid Group Automorphisms
Nicolas Crampé, Luc Frappat, Loïc Poulain d'Andecy +1
We propose a definition by generators and relations of the rank Askey-Wilson algebra for any integer , generalising the known presentation for the usual…
Askey-Wilson braid algebra and centralizer of
Nicolas Crampe, Loic Poulain d'Andecy, Luc Vinet +1
A presentation of the centralizer of the three-fold tensor product of the spin representation of the quantum group is provided. It is expressed as a quot…
Racah algebras, the centralizer and its Hilbert-Poincaré series
Nicolas Crampe, Julien Gaboriaud, Loïc Poulain d'Andecy +1
The higher rank Racah algebra introduced recently is recalled. A quotient of this algebra by central elements, which we call the special Racah algebra , is then intro…
Baxterisation of the fused Hecke algebra and R-matrices with gl(N)-symmetry
N. Crampe, L. Poulain d'Andecy
We give an explicit Baxterisation formula for the fused Hecke algebra and its classical limit for the algebra of fused permutations. These algebras replace the Hecke algebra and th…
Fused braids and centralisers of tensor representations of
N. Crampe, L. Poulain d'Andecy
We present in this paper the algebra of fused permutations and its deformation the fused Hecke algebra. The first one is defined on a set of combinatorial objects that we call fuse…
Temperley-Lieb, Brauer and Racah algebras and other centralizers of su(2)
Nicolas Crampe, Loïc Poulain d'Andecy, Luc Vinet
In the spirit of the Schur-Weyl duality, we study the connections between the Racah algebra and the centralizers of tensor products of three (possibly different) irreducible repres…
Affine Hecke algebras and generalisations of quiver Hecke algebras for type B
L. Poulain d'Andecy, R. Walker
We define and study cyclotomic quotients of affine Hecke algebras of type B. We establish an isomorphism between direct sums of blocks of these algebras and a generalisation, for t…
Inductive basis on Birman-Murakami-Wenzl algebras and (transverse) Markov traces
Loïc Poulain d'Andecy, Anne-Laure Thiel, Emmanuel Wagner
We construct a new inductive basis of the Birman-Murakami-Wenzl algebra. Using it, we provide a new proof of the existence of the Markov trace on the BMW algebras affording the two…
Clifford theory for Yokonuma--Hecke algebras and deformation of complex reflection groups
N. Jacon, L. Poulain d'Andecy
We define and study an action of the symmetric group on the Yokonuma--Hecke algebra. This leads to the definition of two classes of algebras. The first one is connected with the im…
The HOMFLYPT polynomials of sublinks and the Yokonuma-Hecke algebras
L. Poulain d'Andecy, E. Wagner
We describe completely the link invariants constructed using Markov traces on the Yokonuma-Hecke algebras in terms of the linking matrix and the HOMFLYPT polynomials of sublinks.
Young tableaux and representations of Hecke algebras of type ADE
L. Poulain d'Andecy
We introduce and study some affine Hecke algebras of type ADE, generalising the affine Hecke algebras of GL. We construct irreducible calibrated representations and describe the ca…
Invariants for links from classical and affine Yokonuma--Hecke algebras
L. Poulain d'Andecy
We present a construction of invariants for links using an isomorphism theorem for affine Yokonuma--Hecke algebras. The isomorphism relates affine Yokonuma--Hecke algebras with usu…
An isomorphism Theorem for Yokonuma--Hecke algebras and applications to link invariants
N. Jacon, L. Poulain d'Andecy
We develop several applications of the fact that the Yokonuma--Hecke algebra of the general linear group GL is isomorphic to a direct sum of matrix algebras associated to Iwahori--…