Braided momentum in the q-Poincaré group
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Publication:4201754
DOI10.1063/1.530154zbMath0786.17013arXivhep-th/9210141OpenAlexW1971948316WikidataQ57532131 ScholiaQ57532131MaRDI QIDQ4201754
Publication date: 6 September 1993
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/9210141
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)
Related Items (56)
Quantum Heisenberg groups and Sklyanin algebras ⋮ κ-DEFORMED POINCARÉ ALGEBRAS AND QUANTUM CLIFFORD–HOPF ALGEBRAS ⋮ Braided geometry of the conformal algebra ⋮ A noncommutative Hopf structure on 𝒞 ∞[SL(2,C) as a quantum Lorentz group] ⋮ Diffusion on braided spaces ⋮ Reflection equations and \(q\)-Minkowski space algebras ⋮ Double-bosonization and Majid's conjecture. IV: Type-crossings from \(A\) to \(BCD\) ⋮ DIAGRAMMATICS OF BRAIDED GROUP GAUGE THEORY ⋮ Conservation laws for linear equations on braided linear spaces ⋮ \(q\)-Lorentz group and braided coaddition on \(q\)-Minkowski space ⋮ Double-bosonization and Majid’s conjecture, (I): Rank-inductions of ABCD ⋮ Free braided differential calculus, braided binomial theorem, and the braided exponential map ⋮ \(GL_ q(N)\)-covariant braided differential bialgebras ⋮ Quasi-\(*\) structure on \(q\)-Poincaré algebras ⋮ General Double Quantum Groups ⋮ Double quantum groups and Iwasawa decomposition ⋮ Wave equations on \(q\)-Minkowski space ⋮ Identical particles and quantum symmetries ⋮ Categories and quantum statistics ⋮ Metrics on the real quantum plane ⋮ q-epsilon tensor for quantum and braided spaces ⋮ Algebraic q-integration and Fourier theory on quantum and braided spaces ⋮ On the classification of quantum Poincaré groups ⋮ On the addition of quantum matrices ⋮ Random walk and the heat equation on superspace and anyspace ⋮ On certain quantum deformations of gl(N,R) ⋮ q-Euclidean space and quantum Wick rotation by twisting ⋮ Free \(q\)-deformed relativistic wave equations by representation theory ⋮ The Euclidean Hopf algebra U q(e N) and its fundamental Hilbert-space representations ⋮ *-structures on braided spaces ⋮ \(q\)-deformed superalgebras ⋮ Glueing operation for R-matrices, quantum groups and link-invariants of Hecke type ⋮ Differential Hopf algebra structure of the quantum standard complex ⋮ 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 ⋮ The geometry of the quantum Euclidean space ⋮ Study of Lorentz violation in INTEGRAL gamma-ray bursts ⋮ Majid conjecture: quantum Kac-Moody algebras version ⋮ Quantum groups and noncommutative geometry ⋮ Solutions of Klein-Gordon and Dirac equations on quantum Minkowski spaces ⋮ Quantum deformations of \(D =4\) Lorentz algebra revisited: Twistings of \(q\) -deformation ⋮ Jordanian twist quantization of \(D=4\) Lorentz and Poincaré algebras and \(D=3\) contraction limit ⋮ Jordanian quantum deformations of \(D = 4\) anti-de Sitter and Poincaré superalgebras ⋮ Generalised Chern-Simons actions for 3d gravity and \(\kappa \)-Poincaré symmetry ⋮ DISTANCE MEASUREMENT AND κ-DEFORMED PROPAGATION OF LIGHT AND HEAVY PROBES ⋮ On braided hopf algebra structures over the twisted smash products1 ⋮ Double-bosonization and Majid's conjecture. II: Irregular \(R\)-matrices and type-crossing to \(G_2\) ⋮ Quantum flag manifolds, quantum symmetric spaces and their associated universal \(K\)-matrices ⋮ Braided bosonization and inhomogeneous quantum groups ⋮ On communication relations for quons ⋮ Quantum and braided group Riemannian geometry ⋮ Quantum and braided diffeomorphism groups ⋮ ANALYSIS ON q-DEFORMED QUANTUM SPACES ⋮ The inhomogeneous quantum groups from differential calculi with classical dimension ⋮ \(\kappa\)-deformations of \(D=4\) Weyl and conformal symmetries ⋮ Separation of noncommutative differential calculus on quantum Minkowski space
Cites Work
- The structure of Hopf algebras with a projection
- Physics for algebraists: Non-commutative and non-cocommutative Hopf algebras by a bicrossproduct construction
- Quantum deformation of Lorentz group
- Compact matrix pseudogroups
- Braided groups and algebraic quantum field theories
- \(q\)-deformed Poincaré algebra
- Quantum deformations of \(D=4\) Poincaré and Weyl algebra from \(q\)- deformed \(D=4\) conformal algebra
- More examples of bicrossproduct and double cross product Hopf algebras
- QUASITRIANGULAR HOPF ALGEBRAS AND YANG-BAXTER EQUATIONS
- ON q-REGULARIZATION
- A QUANTUM LORENTZ GROUP
- Examples of braided groups and braided matrices
- C-statistical quantum groups and Weyl algebras
- Quantum and braided linear algebra
- Inhomogeneous quantum groups
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