TY - JOUR
T1 - The spherical Hecke algebra for affine Kac-Moody groups I
AU - Braverman, Alexander
AU - Kazhdan, David
PY - 2011/11
Y1 - 2011/11
N2 - We define the spherical Hecke algebra for an (untwisted) affine Kac-Moody group over a local non-archimedian field. We prove a generalizationof the Satake isomorphism for this algebra, relating it to integrable repre-sentations of the Langlands dual affine Kac-Moody group. In the nextpublication we shall use these results to define and study the notion ofHecke eigenfunction for the group Gaff.
AB - We define the spherical Hecke algebra for an (untwisted) affine Kac-Moody group over a local non-archimedian field. We prove a generalizationof the Satake isomorphism for this algebra, relating it to integrable repre-sentations of the Langlands dual affine Kac-Moody group. In the nextpublication we shall use these results to define and study the notion ofHecke eigenfunction for the group Gaff.
UR - http://www.scopus.com/inward/record.url?scp=80055000514&partnerID=8YFLogxK
U2 - 10.4007/annals.2011.174.3.5
DO - 10.4007/annals.2011.174.3.5
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AN - SCOPUS:80055000514
SN - 0003-486X
VL - 174
SP - 1603
EP - 1642
JO - Annals of Mathematics
JF - Annals of Mathematics
IS - 3
ER -