Abstract
In this thesis, we calculated the structure of certain Hecke algebras H(G//P,Ω)
for Sp(4) and Sp(6) over a p-adic field of odd residual characteristic, with reference to Moy's paper on GSp(4). In particular we identified the basis, the
generators and the quadratic relations of each Hecke algebra considered. The
Hecke algebras allow transfers of Iwahori spherical representations of smaller
reductive groups to representations of Sp(6) which are
Ω-spherical.
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