Heisenberg parabolically induced representations of Hermitian Lie groups, part I: Intertwining operators and Weyl transform (Q2700629)

scientific article; zbMATH DE number 7679829

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English	Heisenberg parabolically induced representations of Hermitian Lie groups, part I: Intertwining operators and Weyl transform	scientific article; zbMATH DE number 7679829

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instance of

scholarly article

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title

Heisenberg parabolically induced representations of Hermitian Lie groups, part I: Intertwining operators and Weyl transform (English)

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Advances in Mathematics

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publication date

27 April 2023

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full work available at URL

https://arxiv.org/abs/2209.04273

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zbMATH Keywords

Hermitian Lie groups

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Heisenberg parabolic subgroups

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induced representations

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complementary series

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unitarizable subrepresentations

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Conformally invariant systems of differential equations and prehomogeneous vector spaces of Heisenberg parabolic type

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Q5484088

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Graded Lie Algebras of the Second Kind

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Explicit Hilbert spaces for certain unipotent representations. II

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Explicit Hilbert spaces for certain unipotent representations. III

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Q3318972

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Function spaces and reproducing kernels on bounded symmetric domains

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Q4321748

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Irreducibility of Certain Degenerate Principal Series Representations of Sp(n, R )

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On some degenerate principal series representations of $O(p,2)$

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Q3084090

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Q4520850

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Homogeneous functions on light cones: the infinitesimal structure of some degenerate principal series representations

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Asymptotic properties of unitary representations

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Degenerate principal series and compact groups

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Q3138335

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Composition Series and Intertwining Operators for the Spherical Principal Series. I

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On the Segal-Shale-Weil representations and harmonic polynomials

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Analysis on the minimal representation of $O(p,q)$. I: Realization via conformal geometry.

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Analysis on the minimal representation of O($p,$ $q$). III: Ultrahyperbolic equations on $\mathbb{R}^{p-1,q-1}$

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The Capelli identity, tube domains, and the generalized Laplace transform

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Structure of the degenerate principal series on symmetric $R$-spaces and small representations

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Bessel operators on Jordan pairs and small representations of semisimple Lie groups

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Generalized principal series representations and tube domains

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Explicit Hilbert spaces for certain unipotent representations

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Q3139082

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Jordan algebras and degenerate principal series.

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One-dimensional $K$-types in finite dimensional representations of semisimple Lie groups: A generalization of Helgason's theorem.

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Die Randwerte holomorpher Funktionen auf hermitesch symmetrischen Räumen

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The geometry of special symplectic representations

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Hermitian Lie Algebras and Metaplectic Representations. I

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Analytic continuation of the holomorphic discrete series of a semi-simple Lie group

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Representations of $\text{SU}(p,q)$ and CR geometry. I

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Jordan algebras and generalized principal series representations

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Principal series of Hermitian Lie groups induced from Heisenberg parabolic subgroups

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.AIM.2023.109001

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Sitelinks

Mathematics(1 entry)

mardi Publication:2700629