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Measures on diffeomorphism groups for non-Archimedean manifolds: Group representations and their applications
Teoretičeskaâ i matematičeskaâ fizika, Tome 119 (1999) no. 3, pp. 381-396 Cet article a éte moissonné depuis la source Math-Net.Ru

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Nondegenerate $\sigma$-additive measures with ranges in $\mathbb R$ and $\mathbb Q_q$ ($q\ne p$ are prime numbers) that are quasi-invariant and pseudodifferentiable with respect to dense subgroups $G'$ are constructed on diffeomorphism and homeomorphism groups $G$ for separable non-Archimedean Banach manifolds $M$ over a local field $\mathbb K$, $\mathbb K\supset\mathbb Q_p$, where $\mathbb Q_p$ is the field of $p$-adic numbers. These measures and the associated irreducible representations are used in the non-Archimedean gravitation theory. 
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S. V. Lyudkovskii. Measures on diffeomorphism groups for non-Archimedean manifolds: Group representations and their applications. Teoretičeskaâ i matematičeskaâ fizika, Tome 119 (1999) no. 3, pp. 381-396. http://geodesic.mathdoc.fr/item/TMF_1999_119_3_a2/

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