Multiplicity matrices for the affine graded Hecke algebra
نویسنده
چکیده
In this paper we are looking at the problem of determining the composition factors for the affine graded Hecke algebra via the computation of Kazhdan-Lusztig type polynomials. We review the algorithms of [9, 10], and use them in particular to compute, at every real central character which admits tempered modules, the geometric parameterization, the Kazhdan-Lusztig polynomials, the composition series, and the IwahoriMatsumoto involution for the representations with Iwahori fixed vectors of the split p-adic groups of type G2 and F4 (and by the nature of the algorithms, for their Levi subgroups).
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