The embeddings of discrete series into principal series for an exceptional real simple Lie group of type \(G_ 2\)

DOI10.3792/pjaa.72.78zbMath0867.22008OpenAlexW2072926051WikidataQ115219921 ScholiaQ115219921MaRDI QIDQ1924888

Tetsumi Yoshinaga, Hiroshi Yamashita

Publication date: 22 October 1996

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.72.78

zbMATH Keywords

differential operatordiscrete seriesIwasawa decompositionprincipal seriesZuckerman's translation functorsexceptional real simple Lie group

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30)

Related Items (1)

Modular forms on G 2 and their Standard L-Function

Cites Work

• The embeddings of discrete series into principal series for an exceptional real simple Lie group of type \(G_2\)
• Classification of irreducible tempered representations of semisimple groups. I
• Tensor products of finite and infinite dimensional representations of semisimple Lie groups
• Discrete series for semisimple Lie groups. II: Explicit determination of the characters
• Unnamed Item

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