Quantum Z3-graded space

DOI10.1063/1.530519zbMath0821.58006OpenAlexW2020342088MaRDI QIDQ4314233

Won-Sang Chung

Publication date: 20 November 1994

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

Full work available at URL: https://doi.org/10.1063/1.530519

zbMATH Keywords

quantum \(Z_ 3\)-graded space

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Noncommutative topology (46L85) Noncommutative differential geometry (46L87) Applications of Lie (super)algebras to physics, etc. (17B81)

Related Items (13)

A Z3-graded generalization of supermatrices ⋮ A differential calculus on \(Z_3\)-graded quantum superspace \(\mathbb R_q(2| 1)\) ⋮ CARTAN CALCULUS OF Z₃-GRADED DIFFERENTIAL CALCULUS ON THE QUANTUM PLANE ⋮ Universal \(Z_N\)-graded differential calculus ⋮ Differential geometry of the \(\mathbb Z_3\)-graded quantum supergroup \(\mathrm{GL}_{q,j}(1|1)\) ⋮ Differential calculi on \(\mathbb Z_3\)-graded Grassmann plane ⋮ Hypersymmetry: A ℤ3-graded generalization of supersymmetry ⋮ The Hopf algebra structure of the Z3-graded quantum supergroup GLq,j(1∣1) ⋮ A differential calculus on the (\(h, j\))-deformed \(\mathrm {Z}_3\)-graded superplane ⋮ TERNARY AND NON-ASSOCIATIVE STRUCTURES ⋮ Left-covariant differential calculi on GL̃q(2) ⋮ \(Z_3\)-graded Grassmann variables, parafermions and their coherent states ⋮ Classification of two-dimensional quantum systems with $\mathbb {Z}_3$Z3-graded topological symmetries

Cites Work

• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Z ₃ -grading and the cubic root of the Dirac equation
• A Generalized Method of Field Quantization

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