Lowest weight modules of \(\widetilde{\mathrm{Sp}_{2n}(\mathbb R)}\) of minimal Gelfand-Kirillov dimension

DOI10.1016/j.jalgebra.2007.05.022zbMath1148.22015OpenAlexW2362430666MaRDI QIDQ926856

Bin Yong Sun

Publication date: 21 May 2008

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2007.05.022

zbMATH Keywords

Gelfand-Kirillov dimensionoscillator representationmetaplectic grouplowest weight module

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)

Related Items (1)

Gelfand-Kirillov dimensions of the \(\mathbb{Z}^{2}\)-graded oscillator representations of \(\mathfrak{sl}(n)\)

Cites Work

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• Hermitian symmetric spaces and their unitary highest weight modules
• Representations of real reductive Lie groups
• Über die Gelfand-Kirillov-Dimension. (On the Gelfand-Kirillov-dimension)
• Gelfand-Kirillov dimension for Harish-Chandra modules
• Hilbert series, Howe duality and branching for classical groups
• An intrinsic analysis of unitarizable highest weight modules
• Annihilators and associated varieties of unitary highest weight modules
• Nilpotent cohomology of the oscillator representation.
• Introduction to Lie Algebras and Representation Theory

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