Finite Weil-representations and associated Hecke-algebras
نویسنده
چکیده
1 An algebra H(Gm) of double-cosets is constructed for every finite Weilrepresentation Gm. For the Clifford-Weil groups Gm = Cm(ρ) associated to some classical Type ρ of self-dual codes over a finite field, this algebra is shown to be commutative. Then the eigenspace-decomposition ofH(Cm(ρ)) acting on the space of degree N invariants of Cm(ρ) may be obtained from the kernels of powers of the coding theory analogue of the Siegel Φ-operator.
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