A classification of generalized quantum statistics associated with basic classical Lie superalgebras

DOI10.1063/1.2104287zbMath1111.81081arXivmath-ph/0504013OpenAlexW3103921770MaRDI QIDQ3438684

Neli I. Stoilova, Joris Van der Jeugt

Publication date: 16 May 2007

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

Full work available at URL: https://arxiv.org/abs/math-ph/0504013

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (1)

Classification of generalized quantum statistics associated with the exceptional Lie (super)algebras

Cites Work

• Causal A-statistics. II: Lowest order representation
• Structure of basic Lie superalgebras and of their affine extensions
• Wigner quantum systems: Lie superalgebraic approach
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• A Lie superalgebraic interpretation of the para-Bose statistics
• Wigner approach to quantization. Noncanonical quantization of two particles interacting via a harmonic potential
• Parastatistics as Lie-supertriple systems
• Many-body Wigner quantum systems
• A non-commutativen-particle 3D Wigner quantum oscillator
• Microscopic and macroscopic properties ofA-superstatistics
• Fock representations of the superalgebrasl(n+1|m), its quantum analogueU_q[sl(n+1|m) and related quantum statistics]
• Macroscopic properties ofA-statistics
• Jacobson generators, Fock representations and statistics of sl(n+1)
• Lie and Jordan Triple Systems
• A Generalized Method of Field Quantization
• Lie superalgebras

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