A braided look at Green ansatz for parabosons
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Publication:3544529
DOI10.1063/1.2816258zbMath1153.81384arXiv0901.4320OpenAlexW3100708222MaRDI QIDQ3544529
Konstantinos Kanakoglou, Costas Daskaloyannis
Publication date: 8 December 2008
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0901.4320
Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Commutation relations and statistics as related to quantum mechanics (general) (81S05)
Related Items (6)
Representations of the Lie superalgebra $ \newcommand{\B}{\mathfrak{B}} {\B(\infty,\infty)}$ and parastatistics Fock spaces ⋮ First quantization of braided Majorana fermions ⋮ PARAFERMIONS, PARABOSONS AND REPRESENTATIONS OF 𝔰𝔬(∞) AND 𝔬𝔰𝔭(1|∞) ⋮ Gradings, braidings, representations, paraparticles: some open problems ⋮ Representations of the Lie superalgebra \(\mathfrak{osp}(1|2n)\) with polynomial bases ⋮ Inequivalent quantizations from gradings and Z2×Z2 parabosons
Cites Work
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- Tensor algebras over Hilbert spaces. II
- A new kind of graded Lie algebra and parastatistical supersymmetry
- Interpretation and extension of Green's ansatz for paraparticles
- On the structure of Hopf algebras
- Group-Graded Rings, Smash Products, and Group Actions
- A Lie superalgebraic interpretation of the para-Bose statistics
- Algebraic structure of Green's ansatz and its q-deformed analogue
- Hopf structure and Green ansatz of deformed parastatistics algebras
- The Mathematics of Second Quantization
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