ON THE GEOMETRY OF SIEGEL–JACOBI DOMAINS

DOI10.1142/S0219887811005920zbMath1250.22010arXiv1011.3317OpenAlexW3104202268MaRDI QIDQ2891196

Stefan Berceanu, Alexandru Cezar Gheorghe

Publication date: 13 June 2012

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.3317

zbMATH Keywords

Jacobi groupFock representationcanonical kernel functioncanonical automorphy factorscalar holomorphic discrete seriesSiegel-Jacobi domain

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Analysis on real and complex Lie groups (22E30) Coherent states (81R30) Jacobi forms (11F50) Special polynomials in general fields (12E10)

Related Items (10)

Invariant metric on the extended Siegel-Jacobi upper half space ⋮ Gaussian distributions, Jacobi group, and Siegel-Jacobi space ⋮ A CONVENIENT COORDINATIZATION OF SIEGEL–JACOBI DOMAINS ⋮ Remarks on Berezin quantization on the Siegel-Jacobi ball ⋮ Coherent states and geometry on the Siegel–Jacobi disk ⋮ Balanced metric and Berezin quantization on the Siegel-Jacobi ball ⋮ The real Jacobi group revisited ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Hamiltonian systems on almost cosymplectic manifolds

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