10 citations · 38 across the 8 of their papers we have counts for
8 papers
Twisted symmetric exclusion processes and set-theoretical -matrices
Mathieu Dabrowski, Loïc Poulain d'Andecy, Eric Ragoucy
We investigate periodic integrable Markov models, constructed from set-theoretical solutions of the Yang-Baxter equation. We first focus on the simplest class of solutions, called…
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…
Bivariate -polynomial association schemes
P. -A. Bernard, N. Crampe, L. Poulain d'Andecy +2
Bivariate P-polynomial association scheme of type are defined as a generalization of the P-polynomial association schemes. This generalization is shown to be equivalent to…
The missing label of and its symmetry
N. Crampe, Loic Poulain d'Andecy, Luc Vinet
We present explicit formulas for the operators providing missing labels for the tensor product of two irreducible representations of . The result is seen as a part…
A Calabi-Yau algebra with symmetry and the Clebsch-Gordan series of
N. Crampe, L. Poulain d'Andecy, L. Vinet
Building on classical invariant theory, it is observed that the polarised traces generate the centraliser of the diagonal embedding of in $U(sl(N))^{\otimes…
Affine Hecke algebras of type D and generalisations of quiver Hecke algebras
L. Poulain d'Andecy, R. Walker
We define and study cyclotomic quotients of affine Hecke algebras of type D. We establish an isomorphism between (direct sums of blocks of) these cyclotomic quotients and a general…
Markov traces on affine and cyclotomic Yokonuma-Hecke algebras
Maria Chlouveraki, Loïc Poulain d'Andecy
In this article, we define and study the affine and cyclotomic Yokonuma-Hecke algebras. These algebras generalise at the same time the Ariki-Koike and affine Hecke algebras and the…
Fusion procedure for Coxeter groups of type B and complex reflection groups G(m,1,n)
O. V. Ogievetsky, L. Poulain d'Andecy
A complete system of primitive pairwise orthogonal idempotents for the Coxeter groups of type and, more generally, for the complex reflection groups is constructed b…