Poincaré series of holomorphic representations

DOI10.1016/0019-3577(96)88659-9zbMath0851.22015OpenAlexW1993427254MaRDI QIDQ1914908

Chen-Bo Zhu, Eng-Chye Tan

Publication date: 9 June 1996

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0019-3577(96)88659-9

zbMATH Keywords

Poincaré seriesholomorphic representationBernstein degreesGel'fand-Kirillov dimensionsHermitian symmetric group

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) General properties and structure of real Lie groups (22E15)

Related Items (1)

Gelfand-Kirillov dimension and reducibility of scalar generalized Verma modules for classical Lie algebras

Cites Work

• On singular holomorphic representations
• The invariant theory of \(n\times n\) matrices
• Invariant theory
• On the Segal-Shale-Weil representations and harmonic polynomials
• Gelfand-Kirillov dimension for Harish-Chandra modules
• Transcending Classical Invariant Theory
• Remarks on Classical Invariant Theory
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