Abstract

In this paper, we study spherical Hecke algebras of SL2 over two dimensional local fields. In order to define the convolution product, we make explicit use of coset decompositions. We also consider spherical Hecke algebras of the torus of SL2 and construct the Satake isomorphism between two spherical Hecke algebras. In order to define the Satake isomorphism, we use the invariant measure on two-dimensional local fields with values in [inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="01i" /] constructed by I. Fesenko.

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Additional Information

ISSN
1080-6377
Print ISSN
0002-9327
Pages
pp. 1381-1399
Launched on MUSE
2004-11-30
Open Access
No
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