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New York Journal of Mathematics
Volume 25 (2019), 396-422

  

Raven Waller

Measure and integration on GL2 over a two-dimensional local field

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Published: May 23, 2019.
Keywords: Higher local field, generalised measure theory.
Subject: 11S80, 20G25, 28C10.

Abstract
We define a translation-invariant measure and integral on GL2 over a two-dimensional local field F by combining elements of the classical GL2 theory and the theory developed by Fesenko for the field F itself. We give several alternate expressions for the integral, including one which agrees with the integral defined previously by Morrow.

Acknowledgements

This work was completed while the author was supported by an EPSRC Doctoral Training Grant at the University of Nottingham.


Author information

Raven Waller:
School of Mathematical Sciences
University of Nottingham
Nottinghamshire, NG7 2RD, United Kingdom

Raven.Waller@nottingham.ac.uk