Schrödinger-type equations and unitary highest weight representations of the metaplectic group

DOI10.1090/conm/714/14381zbMath1401.22014OpenAlexW2889210036MaRDI QIDQ4961928

Ronald J. Stanke, Markus Hunziker, Mark R. Sepanski

Publication date: 29 October 2018

Published in: Representation Theory and Harmonic Analysis on Symmetric Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/714/14381

zbMATH Keywords

Schrödinger equationmetaplectic groupunitary highest weight representation

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Semisimple Lie groups and their representations (22E46)

Cites Work

• On global \(\text{SL}(2,\mathbb R)\) symmetries of differential operators
• On the Segal-Shale-Weil representations and harmonic polynomials
• Embeddings of unitary highest weight representations and generalized Dirac operators
• The minimal representation of the conformal group and classic solutions to the wave equation
• Elements of the representation theory of the Jacobi group
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