Constructions of global integrals in the exceptional groups
Representation Theory
2011-08-09 v1 Number Theory
Abstract
Motivated by known examples of global integrals which represent automorphic L-functions, this paper initiates the study of a certain two-dimensional array of global integrals attached to any reductive algebraic group, indexed by maximal parabolic subgroups in one direction and by unipotent conjugacy classes in the other. Fourier coefficients attached to unipotent classes, Gelfand-Kirillov dimension of automorphic representations, and an identity which, empirically, appears to constrain the unfolding process are presented in detail with examples selected from the exceptional groups. Two new Eulerian integrals are included among these examples.
Cite
@article{arxiv.1108.1401,
title = {Constructions of global integrals in the exceptional groups},
author = {David Ginzburg and Joseph Hundley},
journal= {arXiv preprint arXiv:1108.1401},
year = {2011}
}
Comments
74 pages