Invariant integral on classical groups and algebraic harmonic analysis
Amelia Alvarez, Carlos Sancho, Pedro Sancho
Abstract
Let G= Spec A be a linearly reductive group and let wG∈ A* be the invariant integral on G. We establish the harmonic analysis on G and we compute wG when G=Sln, Gln, On, Sp2n by geometric arguments and by means of the Fourier transform.
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