Invariant distributions on projective spaces over local fields

Details Invariant distributions on projective spaces over local fields Invariant distributions on projective spaces over local fields

2010-09-24

arxiv.org/abs/1009.4879v1

Mathematics

Group Theory

6 pages, 1 figure

Scientific paper

Let $\Gamma$ be an $\widetilde A_n$ subgroup of $PGL_{n+1}(K)$, with $n\ge
2$, where $K$ is a local field with residue field of order $q$ and let $\bb
P^n_{K}$ be projective $n$-space over $K$. The module of coinvariants
$H_0(\Gamma; C(P^n_{K},Z))$ is shown to be finite. Consequently there is no
nonzero $\Gamma$-invariant $Z$-valued distribution on $P^n_{K}$.

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