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Some Orbital Integrals and a Technique for Counting Representations of GL2(F)

Published online by Cambridge University Press:  20 November 2018

T. Callahan
T. Callahan*
Affiliation:
The Institute for Advanced Study, Princeton, New Jersey 08540
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Let F be a local field of characteristic zero, with q elements in its residue field, ring of integers uniformizer ωF and maximal ideal . Let GF = GL2(F). We fix Haar measures dg and dz on GF and ZF, the centre of GF, so that

meas(K) = meas

where K = GL2() is a maximal compact subgroup of GF. If T is a torus in GF we take dt to be the Haar measure on T such that

means(TM)=1

where TM denotes the maximal compact subgroup of T.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 30 , Issue 2 , 01 April 1978 , pp. 431 - 448
Copyright
Copyright © Canadian Mathematical Society 1978

References

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