On the degenerate principal series of complex symplectic groups

DOI10.1016/j.jfa.2012.02.013zbMath1242.22017arXiv1111.3915OpenAlexW2013597858MaRDI QIDQ418719

Pierre Clare

Publication date: 30 May 2012

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

Full work available at URL: https://arxiv.org/abs/1111.3915

zbMATH Keywords

Fourier transformsintertwining operatorsbranching lawscomplex symplectic groupsKnapp-Stein operatorsnon-standard model for degenerate principal seriessmall representations

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items (7)

F-method for symmetry breaking operators ⋮ Structure of the degenerate principal series on symmetric \(R\)-spaces and small representations ⋮ Unnamed Item ⋮ Special functions associated with \(K\)-types of degenerate principal series of \(\mathrm{Sp}(n,\mathbb{C})\) ⋮ C\(^*\)-algebraic intertwiners for degenerate principal series of special linear groups ⋮ \(C^\ast\)-algebraic intertwiners for principal series: case of \(\mathrm{SL}(2)\) ⋮ Branching laws for small unitary representations of GL(n, ℂ)

Cites Work

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• Intertwining operators for semisimple groups
• Homogeneous functions on light cones: the infinitesimal structure of some degenerate principal series representations
• The Dual of a Parabolic Subgroup and a Degenerate Principal Series of Sp(n, C)

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