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A classification of commutative parabolic Hecke algebras
Peter Abramenko, James Parkinson, Hendrik Van Maldeghem
Let be a Coxeter system with such that the parabolic subgroup is finite. Associated to this data there is a \textit{Hecke algebra} $\scH$ and a \textit…
math.RT2011
On calibrated representations and the Plancherel Theorem for affine Hecke algebras
James Parkinson
This paper has two main purposes. Firstly we generalise Ram's explicit construction of calibrated representations of the affine Hecke algebra to the multi-parameter case (including…