Correspondence Between Lie Algebra Invariant Subspaces and Lie Group Invariant Subspaces of Representations of Lie Groups

DOI10.2307/1996136zbMath0217.08701OpenAlexW4255918340MaRDI QIDQ5620763

Joel Zeitlin

Publication date: 1972

Full work available at URL: https://doi.org/10.2307/1996136

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Representations of Lie algebras and Lie superalgebras, analytic theory (17B15)

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Cites Work

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• Analytic vectors
• Analytic domination by fractional powers of a positive operator
• Sur les représentations unitaires des groupes de Lie nilpotents. II
• Representation of Elliptic Operators in an Enveloping Algebra
• Sur Les Représentations Unitaires Des Groupes De Lie Nilpotents. III
• On Lie Semi-Groups
• Analytic and Entire Vectors for Representations of Lie Groups
• A Theory of Spherical Functions. I
• Representations of a Semisimple Lie Group on a Banach Space. I

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