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Whittaker and Bessel functors for $G 𝕊 p_{4}$

Sergey Lysenko (2006)

Annales de l’institut Fourier

The theory of Whittaker functors for $G L_{n}$ is an essential technical tools in Gaitsgory’s proof of the Vanishing Conjecture appearing in the geometric Langlands correspondence. We define Whittaker functors for $G 𝕊 p_{4}$ and study their properties. These functors correspond to the maximal parabolic subgroup of $G 𝕊 p_{4}$ , whose unipotent radical is not commutative.We also study similar functors corresponding to the Siegel parabolic subgroup of $G 𝕊 p_{4}$ , they are related with Bessel models for $G 𝕊 p_{4}$ and Waldspurger models for $G L_{2}$ .We...

Whittaker functions, prehomogeneous vector spaces and standard representations of p-adic groups.

Mark Reeder (1994)

Journal für die reine und angewandte Mathematik

Whittaker models, nilpotent orbits and the asymptotics of Harish-Chandra modules

David H. Collingwood (1995)

Compositio Mathematica

Whittaker transforms on real-rank one Lie groups

Roe Goodman (1990)

Colloquium Mathematicae

Whittaker vectors and associated varieties.

H. Matumoto (1987)

Inventiones mathematicae

Whittaker-Orthogonal models, functionariality and the Rankin-Selberg method.

David Ginzburg, D. Bump, S. Friedberg (1992)

Inventiones mathematicae

Whittaker-Shintani functions on the symplectic group of Fourier-Jacobi type

Atsushi Murase, Takashi Sugano (1991)

Compositio Mathematica

Wiener functionals on spaces of Lie algebra valued 1-currents, and unitary representations of currents groups.

Jean Marion (1989)

Publicacions Matemàtiques

Wiener's Criterion in Potential Theory with Applications to Nilpotent Lie Groups.

H. Hueber (1985)

Mathematische Zeitschrift

Witt algebra and the curvature of the Heisenberg group

Zoltán Muzsnay, Péter T. Nagy (2012)

Communications in Mathematics

The aim of this paper is to determine explicitly the algebraic structure of the curvature algebra of the 3-dimensional Heisenberg group with left invariant cubic metric. We show, that this curvature algebra is an infinite dimensional graded Lie subalgebra of the generalized Witt algebra of homogeneous vector fields generated by three elements.

Displaying 21 – 30 of 30

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