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Highest weight vectors for the principal series of semisimple Lie groups and embeddings of highest weight modules

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Publication:909044
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DOI10.1215/kjm/1250520313zbMath0694.22009OpenAlexW1511424741WikidataQ115240402 ScholiaQ115240402MaRDI QIDQ909044

Hiroshi Yamashita

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1215/kjm/1250520313


zbMATH Keywords

Lie algebraembeddingscomplexificationprincipal seriesirreducible highest weight representationshighest weight vectorsconnected simple Lie groupCasselman's subrepresentation theorem


Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46)


Related Items (2)

Nearly holomorphic automorphic forms on \(\mathrm{SP}_{2n}\) with sufficiently regular infinitesimal characters and applications ⋮ On the standard \(L\)-function for \(\mathrm{GSp}_{2n}\times\mathrm{GL}_1\) and algebraicity of symmetric fourth \(L\)-values for \(\mathrm{GL}_2\)




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