Infinite-dimensional representations of the graded Lie algebra (Sp(4):4). Representation of the para-Bose operators with real order of quantization

DOI10.1063/1.525462zbMath0487.17004OpenAlexW2080138725WikidataQ115332563 ScholiaQ115332563MaRDI QIDQ3947800

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Publication date: 1982

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

Full work available at URL: https://doi.org/10.1063/1.525462

zbMATH Keywords

discrete series representationsorthosymplectic Lie superalgebrasinfinite- dimensional representationspara-Bose operators

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Applications of Lie groups to the sciences; explicit representations (22E70) Superalgebras (17A70) Representations of Lie algebras and Lie superalgebras, analytic theory (17B15)

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Modular representations as a possible basis of finite physics, Representations of N=2 extended supergravity and unitarity conditions in Osp (N,4), Irreducible *-representations of the Lie superalgebras B(0,n) with finite-degenerated vacuum. II

Cites Work

• Irreducible unitary representations of the Lorentz group
• Fock space representations of the Lie superalgebra A(0,n)
• The most degenerate irreducible representations of the symplectic group
• Para-Fermi quantization in the representation of SO(n)
• Classification and construction of finite dimensional irreducible representations of the graded algebras; application to the (Sp(2n); 2n) algebra
• Irreducible Representations of Generalized Oscillator Operators
• Discrete Series for the Universal Covering Group of the 3 + 2 de Sitter Group
• A Generalized Method of Field Quantization
• A generalization of field quantization and statistics