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# Matching of Weighted Orbital Integrals for Metaplectic Correspondences

Published:2001-12-01
Printed: Dec 2001
• Paul Mezo
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## Abstract

We prove an identity between weighted orbital integrals of the unit elements in the Hecke algebras of $\GL(r)$ and its $n$-fold metaplectic covering, under the assumption that $n$ is relatively prime to any proper divisor of every $1 \leq j \leq r$.
 MSC Classifications: 22E35 - Analysis on $p$-adic Lie groups