Communications in Number Theory and Physics

Volume 2 (2008)

Number 3

Integration on product spaces and $\mbox{GL}_n$ of a valuation field over a local field

Pages: 563 – 592

DOI: https://dx.doi.org/10.4310/CNTP.2008.v2.n3.a3

Author

Matthew Morrow (School of Mathematical Sciences, University of Nottingham, United Kingdom)

Abstract

We present elements of a theory of translation-invariantintegration on finite dimensional vector spaces and on$\mbox{GL}_n$ over a valuation field with local field asresidue field. We then discuss the case of an arbitraryalgebraic group. This extends the work of Fesenko.

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Published 1 January 2008