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.

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.


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