The wave front set correspondence for dual pairs with one member compact

DOI10.1007/s10114-024-1424-yarXiv2108.10545MaRDI QIDQ6151785

Mark McKee, Angela Pasquale, Tomasz Przebinda

Publication date: 11 March 2024

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.10545

zbMATH Keywords

wave front setWeil representationorbital integralsreductive dual pairsHowe duality

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Semisimple Lie groups and their representations (22E46) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Cites Work

• A reverse engineering approach to the Weil representation
• Semisimple orbital integrals on the symplectic space for a real reductive dual pair
• The local structure of characters
• Characters, dual pairs, and unipotent representations
• Gelfand-Kirillov dimension for Harish-Chandra modules
• Characters, dual pairs, and unitary representations
• Theta lifting of unitary lowest weight modules and their associated cycles
• Hilbert series, Howe duality and branching for classical groups
• Local geometry of orbits for an ordinary classical Lie supergroup
• Dual pairs and Kostant-Sekiguchi correspondence. II: Classification of nilpotent elements
• Invariant eigendistributions on a semisimple Lie algebra
• Theta lifting of holomorphic discrete series: The case of $ U(n, n) \times U(p, q) $
• Transcending Classical Invariant Theory
• Differential Operators on a Semisimple Lie Algebra
• Coincidence of algebraic and smooth theta correspondences
• The duality correspondence of infinitesimal characters
• Invariant Differential Operators and Distributions on a Semisimple Lie Algebra
• Lie groups beyond an introduction
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item