Invariant Integral on Classical Groups and Algebraic Harmonic Analysis

Abstract

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)

Topics

Figures and Tables

Sorry, we couldn't extract any figures or tables for this paper.

Slides referencing similar topics