Constructions of global integrals in the exceptional group F4

David Ginzburg, Joseph Hundley

Research output: Contribution to journalArticlepeer-review


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, the 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.

Original languageEnglish
Pages (from-to)389-417
Number of pages29
JournalKyushu Journal of Mathematics
Issue number2
StatePublished - 2013


  • Exceptional groups
  • Integral representations
  • Rankin-Selberg


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