On calibrated representations and the Plancherel theorem for affine Hecke algebras
Journal of Algebraic Combinatorics, Tome 40 (2014) no. 2, pp. 331-371.

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This paper has two main purposes. Firstly, we generalise Ram's combinatorial construction of calibrated representations of the affine Hecke algebra to the multi-parameter case (including the non-reduced $BC_n$ case). We then derive the Plancherel formulae for all rank 1 and rank 2 affine Hecke algebras, using our calibrated representations to construct all representations involved.
Classification : 05E10, 05E15, 20C08
Keywords: affine Hecke algebra, calibrated representations, Plancherel measure
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Parkinson, James. On calibrated representations and the Plancherel theorem for affine Hecke algebras. Journal of Algebraic Combinatorics, Tome 40 (2014) no. 2, pp. 331-371. http://geodesic.mathdoc.fr/item/JAC_2014__40_2_a9/