Dedicated to Igor Frenkel on the occasion of his 60th birthday AN AFFINE GINDIKIN-KARPELEVICH FORMULA
نویسنده
چکیده
In this paper we give an elementary proof of certain finiteness results about affine Kac-Moody groups over a local non-archimedian field K. Our results imply those proven earlier in [5],[4] and [16] using either algebraic geometry or a Kac-Moody version of the Bruhat-Tits building. The above finiteness results allow one to formulate an affine version of the GindikinKarpelevich formula, which coincides with the one discussed in [4] in the case when K has positive characteristic. We deduce this formula from an affine version of the Macdonald formula for the spherical function, which will be proved in a subsequent publication.
منابع مشابه
A combinatorial description of the affine Gindikin-Karpelevich formula of type A_{n}(1)
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تاریخ انتشار 2013