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arXiv · 0811.4462

A local relative trace formula for F*\SL(2,F)

Jonathan Sparling
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Abstract

In this note, we derive explicitly the local relative trace formula for the symmetric space F*\SL(2,F) at the level of Lie algebras, where F is a p-adic field of residue characteristic greater than two and F* is the set of invertible elements in F. This is perhaps one of the simplest non-trivial analogs of the trace formula, and also a motivating example for the author's work (in preparation) on the relative trace formula.

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Jonathan Sparling. 2026-09-21. A local relative trace formula for F*\SL(2,F). https://arxiv.org/abs/0811.4462

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