2008/01/09 by Ciubotaru, Dan · 2 citations
#22E50 #FOS: Mathematics #Representation Theory (math.RT)
paper · doi:10.48550/arxiv.0801.1526
In this paper, we look 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 \citeL1,L2, 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 Iwahori-Matsumoto involution for the representations with Iwahori fixed vectors of the split p-adic groups of type G2 and F4.