A class of unitary representations of the Lie group Sp(3, R), its coherent states, and its map to a symplectic realization on sp*(3, R)

DOI10.1063/1.527370zbMath0602.22011OpenAlexW120254923WikidataQ115332128 ScholiaQ115332128MaRDI QIDQ3737686

Peter Kramer, W. Schweizer, Zorka Papadopolos

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1063/1.527370

zbMATH Keywords

symplectic realizationCoherent statesUnitary representationsdiscrete series of Sp(3, \({bbfR})\)

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) Lie algebras of Lie groups (22E60)

Related Items (2)

The nuclear collective WSp(6,R) model ⋮ Fermion realization of the nuclear Sp(6,R) model

Cites Work

• Geometric quantization of the CM(3) model
• Coherent states for arbitrary Lie group
• Collectivity and geometry. I. General approach
• A note on coherent state representations of Lie groups
• QUANTIZATION IN COMPLEX SYMMETRIC SPACES

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