q-epsilon tensor for quantum and braided spaces

DOI10.1063/1.531098zbMath0833.17018arXivhep-th/9406157OpenAlexW2164028379MaRDI QIDQ4836955

Shahn Majid

Publication date: 12 March 1996

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

Full work available at URL: https://arxiv.org/abs/hep-th/9406157

zbMATH Keywords

braided vector spacebraid statisticsbraided geometry\(q\)-Euclidean spaces\(q\)-Minkowski spacesHodge \(*\) operatorquantum group covariancequantum spaces of \(R\)-matrix typetotally antisymmetric tensor

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Noncommutative topology (46L85) Noncommutative differential geometry (46L87) Hodge theory in global analysis (58A14)

Related Items

Quasi-\(*\) structure on \(q\)-Poincaré algebras, Gauge theory on twist-noncommutative spaces, *-structures on braided spaces, ON THE HERMITICITY OF q-DIFFERENTIAL OPERATORS AND FORMS ON THE QUANTUM EUCLIDEAN SPACES $\mathbb{R}_q^N$, q -quaternions and q-deformed su(2) instantons, Fermionic q-Fock space and braided geometry, Quantum groups and noncommutative geometry, CALCULI, HODGE OPERATORS AND LAPLACIANS ON A QUANTUM HOPF FIBRATION

Cites Work

• Quantum deformation of Lorentz group
• Twisted second quantization
• Braided groups and algebraic quantum field theories
• \(q\)-deformed Poincaré algebra
• Braided matrix structure of the Sklyanin algebra and of the quantum Lorentz group
• The quantum double as quantum mechanics
• More examples of bicrossproduct and double cross product Hopf algebras
• The algebra of differential forms on a full matric bialgebra
• A QUANTUM LORENTZ GROUP
• Examples of braided groups and braided matrices
• C-statistical quantum groups and Weyl algebras
• Braided momentum in the q-Poincaré group
• Quantum and braided linear algebra
• Free braided differential calculus, braided binomial theorem, and the braided exponential map
• On the addition of quantum matrices
• q-Euclidean space and quantum Wick rotation by twisting
• Algebraic q-integration and Fourier theory on quantum and braided spaces
• Quantum groups SO_q(N), Sp_q(n) have q-determinants, too
• Coadditive differential complexes on quantum groups and quantum spaces