CONSTRUCTIONS OF GLOBAL INTEGRALS IN THE EXCEPTIONAL GROUP F4

• GINZBURG David

  School of Mathematical Sciences Sackler Faculty of Exact Sciences Tel-Aviv University

• HUNDLEY Joseph

  School of Mathematical Sciences Sackler Faculty of Exact Sciences Tel-Aviv University

書誌事項

タイトル別名

• CONSTRUCTIONS OF GLOBAL INTEGRALS IN THE EXCEPTIONAL GROUP <b><i>F</i></b>₄

抄録

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.

収録刊行物

• 九州数学雑誌

  九州数学雑誌 67 (2), 389-417, 2013

  九州大学大学院数理学研究院

キーワード

• integral representations
• Rankin-Selberg
• exceptional groups

詳細情報

• CRID: 1390282680205880448
• NII論文ID: 130003383443
• DOI: 10.2206/kyushujm.67.389
• ISSN: 18832032
• ISSN: 13406116
• Web Site: https://www.jstage.jst.go.jp/article/kyushujm/67/2/67_389/_pdf
• 本文言語コード: en
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