Eisenstein series on affine Kac-Moody groups over function fields
نویسندگان
چکیده
منابع مشابه
Eisenstein Series on Affine Kac-moody Groups over Function Fields
In his pioneering work, H. Garland constructed Eisenstein series on affine Kac-Moody groups over the field of real numbers. He established the almost everywhere convergence of these series, obtained a formula for their constant terms, and proved a functional equation for the constant terms. In his subsequent paper, the convergence of the Eisenstein series was obtained. In this paper, we define ...
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Let g be a Kac–Moody Lie algebra. We give an interpretation of Tits’ associated group functor using representation theory of g and we construct a locally compact “Kac–Moody group” G over a finite field k. Using (twin) BN-pairs (G,B,N) and (G,B−, N) for G we show that if k is “sufficiently large”, then the subgroup B− is a non-uniform lattice in G. We have also constructed an uncountably infinit...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2013
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-2013-06078-3