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Criteria for the finiteness of restriction of \(U(\mathfrak{g})\)-modules to subalgebras and applications to Harish-Chandra modules

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Publication:1328295
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DOI10.1006/jfan.1994.1051zbMath0820.17011OpenAlexW2053830706MaRDI QIDQ1328295

Hiroshi Yamashita

Publication date: 29 August 1994

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1994.1051


zbMATH Keywords

finitenessvarietyrestrictionHarish-Chandra moduleintertwining number


Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Universal enveloping (super)algebras (17B35) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)


Related Items (2)

Gelfand-Kirillov dimensions of the \(\mathbb{Z}^{2}\)-graded oscillator representations of \(\mathfrak{sl}(n)\) ⋮ ON S-HARDY–LITTLEWOOD HOMOGENEOUS SPACES




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