Lie superalgebras, infinite-dimensional algebras and quantum statistics

DOI10.1016/0034-4877(92)90017-UzbMath0793.17008OpenAlexW2085965568MaRDI QIDQ1308486

Tchavdar D. Palev

Publication date: 9 January 1994

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(92)90017-u

zbMATH Keywords

representationsinduced representationsquantum statisticscreation and annihilation operatorsorthosymplectic Lie superalgebrasparastatistics

Mathematics Subject Classification ID

Quantum field theory; related classical field theories (81T99) Superalgebras (17A70) Graded Lie (super)algebras (17B70)

Related Items (6)

A fixed point result and the stability problem in Lie superalgebras ⋮ The Z2×Z2 -graded Lie superalgebras pso(2n+1|2n) and pso(∞|∞) , and parastatistics Fock spaces ⋮ Representations of the Lie superalgebra $ \newcommand{\B}{\mathfrak{B}} {\B(\infty,\infty)}$ and parastatistics Fock spaces ⋮ PARAFERMIONS, PARABOSONS AND REPRESENTATIONS OF 𝔰𝔬(∞) AND 𝔬𝔰𝔭(1|∞) ⋮ The paraboson Fock space and unitary irreducible representations of the Lie superalgebra \({\mathfrak{osp}(1|2n)}\) ⋮ Highest weight irreducible representations of the quantum algebra Uh(A∞)

Cites Work

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• Causal A-statistics. II: Lowest order representation
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• Finite-dimensional irreducible representations of the quantum superalgebra \(U_ q[gl(n/1)\)]
• The theory of Lie superalgebras. An introduction
• Quantization of \(U_ q[\text{so}(2n+1)\) with deformed para-Fermi operators]
• Fermi-Bose Similarity
• A Lie superalgebraic interpretation of the para-Bose statistics
• Do the Equations of Motion Determine the Quantum Mechanical Commutation Relations?
• A Generalized Method of Field Quantization
• Lie superalgebras

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