On the Left Ideal in the Universal Enveloping Algebra of a Lie Group Generated by a Complex Lie Subalgebra

DOI10.2307/2161240zbMath0813.22002OpenAlexW4243517568MaRDI QIDQ4303834

Juan Tirao

Publication date: 27 September 1994

Full work available at URL: https://doi.org/10.2307/2161240

zbMATH Keywords

Lie algebrauniversal enveloping algebrareductive groupscomplexificationholomorphic functionsconnected Lie group

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) General properties and structure of complex Lie groups (22E10) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) General properties and structure of real Lie groups (22E15) Homogeneous complex manifolds (32M10)

Related Items (1)

The image of the Lepowsky homomorphism for the split rank one symplectic group

Cites Work

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• Representations and representative functions of Lie groups
• The extensibility of local Lie groups of transformations and groups on surfaces
• Affine Embeddings of Complex Analytic Homogeneous Spaces
• Extensions of Representations of Algebraic Linear Groups

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