Embeddings of discrete series into induced representations of semisimple Lie groups. II: Generalized Whittaker models for \(SU(2,2)\)

DOI10.1215/kjm/1250519799zbMath0745.22012OpenAlexW1495844406WikidataQ115240406 ScholiaQ115240406MaRDI QIDQ1181054

Hiroshi Yamashita

Publication date: 27 June 1992

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250519799

zbMATH Keywords

multiplicitycharacterunipotent radicalsinduced representationsWhittaker modelscuspidal parabolic subgroupsembedding of discrete series representationsgeneralized Gelfand-Graev representationsgroup \(SU(2,2)\)

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Induced representations for locally compact groups (22D30)

Related Items (8)

Associated varieties and Gelfand-Kirillov dimensions for the discrete series of a semisimple Lie group ⋮ An explicit integral representation of Whittaker functions on \(\text{Sp}(2;\mathbb{R})\) for the large discrete series representations ⋮ The \((\mathfrak g,K)\)-module structures of principal series of \(\text{SU}(2,2)\) ⋮ Whittaker functions for the large discrete series representations of \(\mathrm{SU}(2,1)\) and related zeta integrals ⋮ The Fourier expansion of modular forms on quaternionic exceptional groups ⋮ MATRIX COEFFICIENTS OF REPRESENTATIONS OF SU(2,2): THE CASE OF P_J-PRINCIPAL SERIES ⋮ Matrix coefficients of the middle discrete series of \(\text{SU}(2,2)\) ⋮ Modular forms on G 2 and their Standard L-Function

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