Geodesic
The spherical Hecke algebra for affine Kac-Moody groups I
Alexander Braverman1 ; David Kazhdan2
1 Department of Mathematics<br/> Brown University<br/> Providence, RI 02912
2 Einstein Institute of Mathematics<br/> The Hebrew University of Jerusalem,<br/> Edmond J. Safra Campus, Givat Ram<br/>Jerusalem 91904<br/> Israel
Annals of mathematics, Tome 174 (2011) no. 3, pp. 1603-1642.

Voir la notice de l'article provenant de la source Annals of Mathematics website

We define the spherical Hecke algebra for an (untwisted) affine Kac-Moody group over a local non-archimedian field. We prove a generalization of the Satake isomorphism for this algebra, relating it to integrable representations of the Langlands dual affine Kac-Moody group. In the next publication we shall use these results to define and study the notion of Hecke eigenfunction for the group $G_{\rm aff}$.
DOI : 10.4007/annals.2011.174.3.5

Alexander Braverman 1 ; David Kazhdan 2

1 Department of Mathematics<br/> Brown University<br/> Providence, RI 02912
2 Einstein Institute of Mathematics<br/> The Hebrew University of Jerusalem,<br/> Edmond J. Safra Campus, Givat Ram<br/>Jerusalem 91904<br/> Israel 
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Alexander Braverman; David Kazhdan. The spherical Hecke algebra for affine Kac-Moody groups I. Annals of mathematics, Tome 174 (2011) no. 3, pp. 1603-1642. doi : 10.4007/annals.2011.174.3.5. http://geodesic.mathdoc.fr/articles/10.4007/annals.2011.174.3.5/

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