Generalized and degenerate Whittaker quotients and Fourier coefficients

zbMath1469.20046arXiv1808.00890MaRDI QIDQ5136650

Dmitry Gourevitch, Siddhartha Sahi

Publication date: 27 November 2020

Full work available at URL: https://arxiv.org/abs/1808.00890

zbMATH Keywords

Heisenberg grouposcillator representationautomorphic formFourier coefficientcuspidal representationmetaplectic groupwave-front setdistinguished orbitadmissible orbit

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Linear algebraic groups over global fields and their integers (20G30) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Linear algebraic groups over local fields and their integers (20G25) Linear algebraic groups over adèles and other rings and schemes (20G35) Coadjoint orbits; nilpotent varieties (17B08)

Related Items (7)

On the wavefront sets associated with theta representations ⋮ Twisted doubling integrals for classical groups ⋮ Quaternionic Speh representations ⋮ A triangular system for local character expansions of Iwahori-spherical representations of general linear groups ⋮ Multiplicity one theorems for the generalized doubling method (with an appendix by Avraham Aizenbud and Dmitry Gourevitch) ⋮ Whittaker supports for representations of reductive groups ⋮ Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups

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