8 citations · 8 across the 4 of their papers we have counts for
5 papers
Representation theory and an isomorphism theorem for the Framisation of the Temperley-Lieb algebra
Maria Chlouveraki, Guillaume Pouchin
In this paper, we describe the irreducible representations and give a dimension formula for the Framisation of the Temperley-Lieb algebra. We then prove that the Framisation of the…
Higgs bundles on weighted projective lines and loop crystals
Guillaume Pouchin
We consider the space of nilpotent Higgs bundles on a weighted projective line, as a global analog of the nilpotent cone. We show that it is pure, compute its dimension, and define…
Determination of the representations and a basis for the Yokonuma-Temperley-Lieb algebra
Maria Chlouveraki, Guillaume Pouchin
We determine the representations of the Yokonuma-Temperley-Lieb algebra, which is defined as a quotient of the Yokonuma-Hecke algebra by generalising the construction of the classi…
Higgs algebra of curves and loop crystals
Guillaume Pouchin
We define the Higgs algebra of the projective line, as a convolution algebra of constructible functions on the global nilpotent cone , a lagrangi…
A geometric Schur-Weyl duality for quotients of affine Hecke algebras
Guillaume Pouchin
After establishing a geometric Schur-Weyl duality in a general setting, we recall this duality in type A in the finite and affine case. We extend the duality in the affine case to…