Formal Group Laws for Affine Kac-Moody groups and group quantization
نویسندگان
چکیده
منابع مشابه
The Spherical Hecke Algebra for Affine Kac-moody Groups I
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 these algebras, 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 Ga...
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Initially, we set out to construct non-uniform ‘arithmetic’ lattices in Kac-Moody groups of rank 2 over finite fields, as constructed by Tits ([Ti1], [Ti2]) using the BruhatTits tree of a Tits system for such groups. This attempt succeeded, and in fact, the construction we used can be applied to higher rank Kac-Moody groups over sufficiently large finite fields, and their buildings (Theorem 1.7...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 1987
ISSN: 0010-3616,1432-0916
DOI: 10.1007/bf01221252