Nilpotent orbits and Whittaker functions for derived functor modules of Sp(2, ℝ)

研究成果: Article査読

1 被引用数 (Scopus)

抄録

We study the moderate growth generalized Whittaker functions, associated to a unitary character ψ of a unipotent subgroup, for the non-tempered cohomological representation of G = Sp (2, ℝ). Through an explicit calculation of a holonomic system which characterizes these functions we observe that their existence is determined by the including relation between the real nilpotent coadjoint G-orbit of ψ in g* and the asymptotic support of the cohomological representation.

本文言語English
ページ(範囲)769-794
ページ数26
ジャーナルCanadian Journal of Mathematics
54
4
DOI
出版ステータスPublished - 2002 8月

ASJC Scopus subject areas

  • 数学 (全般)

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