Invariant integral on classical groups and algebraic harmonic analysis

Details Invariant integral on classical groups and algebraic harmonic analysis Invariant integral on classical groups and algebraic harmonic analysis

2006-11-10

arxiv.org/abs/math/0611312v2

Mathematics

Algebraic Geometry

17 pages, some new results added

Scientific paper

Let $G={\rm Spec} A$ be a linearly reductive group and let $w_G\in A^*$ be
the invariant integral on $G$. We establish the harmonic analysis on $G$ and we
compute $w_G$ when $G=Sl_n, Gl_n, O_n, Sp_{2n}$ by geometric arguments and by
means of the Fourier transform.

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