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A holomorphic representation of the semidirect sum of symplectic and Heisenberg Lie algebras

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Publication:855118
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zbMath1129.22005MaRDI QIDQ855118

Stefan Berceanu

Publication date: 2 January 2007

Published in: Journal of Geometry and Symmetry in Physics (Search for Journal in Brave)


zbMATH Keywords

symplectic groupHeisenberg grouprepresentation


Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Applications of Lie groups to the sciences; explicit representations (22E70) Coherent states (81R30) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Homogeneous complex manifolds (32M10)


Related Items (6)

Invariant metric on the extended Siegel-Jacobi upper half space ⋮ The category of weight modules for symplectic oscillator Lie algebras ⋮ Remarks on Berezin quantization on the Siegel-Jacobi ball ⋮ Balanced metric and Berezin quantization on the Siegel-Jacobi ball ⋮ On Reducible Verma Modules over Jacobi Algebra ⋮ Classification of the reducible Verma modules over the Jacobi algebra G2




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