A classification of generalized quantum statistics associated with classical Lie algebras

DOI10.1063/1.1827324zbMath1067.81055arXivmath-ph/0409002OpenAlexW3105146604MaRDI QIDQ3024256

Neli I. Stoilova, Joris Van der Jeugt

Publication date: 30 June 2005

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

Full work available at URL: https://arxiv.org/abs/math-ph/0409002

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 (5)

Classification of generalized quantum statistics associated with the exceptional Lie (super)algebras ⋮ ELECTROMAGNETIC EXCITATIONS OF HALL SYSTEMS ON FOUR-DIMENSIONAL SPACE ⋮ On classical Z2×Z2-graded Lie algebras ⋮ ELECTROMAGNETIC EXCITATIONS OF A_n QUANTUM HALL DROPLETS ⋮ A classification of generalized quantum statistics associated with basic classical Lie superalgebras

Cites Work

• Causal A-statistics. II: Lowest order representation
• Fock space representations of the Lie superalgebra A(0,n)
• A Lie superalgebraic interpretation of the para-Bose 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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