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math.RT2013
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…
math.RT2013
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…