Geometric analysis on small unitary representations of \(\text{GL}(N, \mathbb R)\)

DOI10.1016/j.jfa.2010.12.008zbMath1217.22003arXiv1002.3006OpenAlexW2155597329MaRDI QIDQ630780

Michael Pevzner, Toshiyuki Kobayashi, Bent Orsted

Publication date: 21 March 2011

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.3006

zbMATH Keywords

symplectic groupreductive groupsymmetric pairbranching lawsmall representationphase space representationdegenerate principal series representations

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Analysis on real and complex Lie groups (22E30) Unitary representations of locally compact groups (22D10)

Related Items (17)

F-method for symmetry breaking operators ⋮ Real double flag varieties for the symplectic group ⋮ Discrete components in restriction of unitary representations of rank one semisimple Lie groups ⋮ On the degenerate principal series of complex symplectic groups ⋮ Multiplicity in restricting minimal representations ⋮ Bounded multiplicity theorems for induction and restriction ⋮ Unnamed Item ⋮ Special functions associated with \(K\)-types of degenerate principal series of \(\mathrm{Sp}(n,\mathbb{C})\) ⋮ The Lagrangian Radon transform and the Weil representation ⋮ Minimal representations via Bessel operators ⋮ C\(^*\)-algebraic intertwiners for degenerate principal series of special linear groups ⋮ A program for branching problems in the representation theory of real reductive groups ⋮ Principal series of Hermitian Lie groups induced from Heisenberg parabolic subgroups ⋮ Analysis of minimal representations of \(\mathrm{SL}(n, \mathbb{R})\) ⋮ \(C^\ast\)-algebraic intertwiners for principal series: case of \(\mathrm{SL}(2)\) ⋮ Branching laws for small unitary representations of GL(n, ℂ) ⋮ Duflo's conjecture for the branching problem to the Iwasawa \(AN\)-subgroup of a semisimple Lie group

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