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Matching of Weighted Orbital Integrals for Metaplectic Correspondences

Published online by Cambridge University Press:  20 November 2018

Paul Mezo
Paul Mezo*
Affiliation:
Max-Planck-Institut für Mathematik Bonn PB: 7280 D-53072 Bonn Germany, email: mezo@mpim-bonn.mpg.de
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Abstract

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We prove an identity between weighted orbital integrals of the unit elements in the Hecke algebras of $\text{GL}\left( r \right)$ and its $n$-fold metaplectic covering, under the assumption that $n$ is relatively prime to any proper divisor of every $1\,\le \,j\,\le \,r$.

Keywords

22E35
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 44 , Issue 4 , 01 December 2001 , pp. 482 - 490
Copyright
Copyright © Canadian Mathematical Society 2001

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