7 citations · 7 across the 4 of their papers we have counts for
4 papers
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…
Jucys--Murphy elements and representations of cyclotomic Hecke algebras
O. V. Ogievetsky, L. Poulain d'Andecy
An inductive approach to the representation theory of cyclotomic Hecke algebras, inspired by Okounkov and Vershik, is developed. We study the common spectrum of the Jucys-Murphy el…