A classification of generalized quantum statistics associated with basic classical Lie superalgebras
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Publication:3438684
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
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
- A classification of generalized quantum statistics associated with classical Lie algebras
- Regular subalgebras of Lie superalgebras and extended Dynkin diagrams
- Fock space representations of the Lie superalgebra A(0,n)
- 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 analogueUq[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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