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Bernstein degree of singular unitary highest weight representations of the metaplectic group

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Publication:1293935
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DOI10.3792/pjaa.75.9zbMath0947.11020OpenAlexW2015377618MaRDI QIDQ1293935

Kyo Nishiyama, Hiroyuki Ochiai

Publication date: 12 November 2000

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.75.9

zbMATH Keywords

metaplectic groupdeterminantal varietyBernstein degreeGiambelli's formula


Mathematics Subject Classification ID

Determinantal varieties (14M12) 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) Representation-theoretic methods; automorphic representations over local and global fields (11F70)


Related Items

On the evaluation of some Selberg-like integrals



Cites Work

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  • On symmetric and skew-symmetric determinantal varieties
  • On the Segal-Shale-Weil representations and harmonic polynomials
  • Gelfand-Kirillov dimension for Harish-Chandra modules
  • Über die analytische Theorie der quadratischen Formen
  • Remarks on Classical Invariant Theory
  • Über Dirichlet-Reihen mit Funktionalgleichung.
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