Measure and Integration on $GL_2$ over a Two-Dimensional Local Field

Raven Waller

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arXiv · 1902.02899

Measure and Integration on $GL_2$ over a Two-Dimensional Local Field

Raven Waller

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Abstract

We define a translation-invariant measure and integral on $GL_2$ over a two-dimensional local field $F$ by combining elements of the classical $GL_2$ 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.

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Raven Waller. 2019-02-08. Measure and Integration on $GL_2$ over a Two-Dimensional Local Field. https://arxiv.org/abs/1902.02899

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