Principal series of Hermitian Lie groups induced from Heisenberg parabolic subgroups

DOI10.1016/j.jfa.2022.109399OpenAlexW3162998646MaRDI QIDQ2076316

Genkai Zhang

Publication date: 16 February 2022

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

Full work available at URL: https://arxiv.org/abs/2105.05568

zbMATH Keywords

induced representationsHermitian Lie groupscomposition and complementary seriesHeisenberg parabolic subgroups

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Representations of Lie algebras and Lie superalgebras, analytic theory (17B15) Analysis on other specific Lie groups (43A80) Induced representations for locally compact groups (22D30) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Related Items (2)

Branching of metaplectic representation of 𝑆𝑝(2,ℝ) under its principal 𝕊𝕃(2,ℝ)-subgroup ⋮ Heisenberg parabolically induced representations of Hermitian Lie groups, part I: Intertwining operators and Weyl transform

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