Boson realization of sp(4, R). II. The generating kernel formulation

DOI10.1063/1.527165zbMath0592.22017OpenAlexW1995370112MaRDI QIDQ3720848

Peter Kramer, Octavio Castaños, Marcos Moshinsky

Publication date: 1986

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.527165

zbMATH Keywords

irreducible representationsdiscrete seriesmatrix elementssymplectic algebrasgenerating kernelsp(4,\({\mathbb{R}})\)

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of Lie groups to the sciences; explicit representations (22E70)

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Cites Work

• The algebraic CM (3) model
• Boson realisation of symplectic algebras
• Boson realization of sp(4). I. The matrix formulation
• On a Hilbert Space of Analytie Functions and an Associated Integral Transform. Part II. A Family of Related Function Spaces Application to Distribution Theory