Invariant Integral on Classical Groups and Algebraic Harmonic Analysis


Let G = SpecA be a linearly reductive group and let wG ∈ A ∗ be the invariant integral on G. We establish the algebraic harmonic analysis on G and we compute wG when G = Sln, Gln, On, Sp2n by geometric arguments and by means of the Fourier transform. Introduction An affine k-group G = SpecA is linearly semisimple (that is, linearly reductive) if and only if… (More)


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