Degenerate Whittaker functionals for real reductive groups

DOI10.1353/ajm.2015.0008zbMath1315.22018arXiv1210.4064OpenAlexW3105808282MaRDI QIDQ5248802

Siddhartha Sahi, Dmitry Gourevitch

Publication date: 11 May 2015

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.4064

zbMATH Keywords

representationreductive groupassociated variety\(\mathcal D\)-modulewave-front set

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47) Coadjoint orbits; nilpotent varieties (17B08)

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Fourier coefficients of automorphic forms and integrable discrete series ⋮ Small automorphic representations and degenerate Whittaker vectors ⋮ Twisted doubling integrals for classical groups ⋮ Exact \(\nabla^{4}\mathcal{R}^{4}\) couplings and helicity supertraces ⋮ Quaternionic Speh representations ⋮ Annihilator varieties, adduced representations, Whittaker functionals, and rank for unitary representations of \(GL(n)\) ⋮ Generalized and degenerate Whittaker models ⋮ Vanishing of certain equivariant distributions on spherical spaces for quasi-split groups ⋮ Wave front sets of reductive Lie group representations. III. ⋮ On disjointness of linear models and degenerate Whittaker models ⋮ Derivatives for smooth representations of \(\mathrm{GL}(n, \mathbb R)\) and \(\mathrm{GL}(n, \mathbb C)\) ⋮ Degenerate principal series and nilpotent invariants ⋮ A reduction principle for Fourier coefficients of automorphic forms

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