Symmetric ordering and Weyl realizations for quantum Minkowski spaces
From MaRDI portal
Publication:5883029
DOI10.1063/5.0094443OpenAlexW4311418885MaRDI QIDQ5883029
Saša Krešić-Jurić, Zoran Škoda, Stjepan Meljanac
Publication date: 29 March 2023
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.15084
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Particle dynamics on Snyder space
- New Lie-algebraic and quadratic deformations of Minkowski space from twisted Poincaré symmetries
- Scalar field theory in Snyder space-time: alternatives
- Lie algebra type noncommutative phase spaces are Hopf algebroids
- The noncommutative doplicher-fredenhagen-roberts-amorim space
- Snyder space revisited
- Gauge theories on \(\kappa\)-Minkowski spaces: twist and modular operators
- A universal formula for representing Lie algebra generators as formal power series with coefficients in the Weyl algebra
- Covariant realizations of kappa-deformed space
- \(\kappa \)-Minkowski spacetime and the star product realizations
- An explicit *-product on the cotangent bundle of a Lie group
- Ring theory from symplectic geometry
- Universal representations of Lie algebras by coderivations.
- Quantum groups and noncommutative geometry. With a contribution by Theo Raedschelders and Michel Van den Bergh
- Lie-deformed quantum Minkowski spaces from twists: Hopf-algebraic versus Hopf-algebroid approach
- Hopf algebroid twists for deformation quantization of linear Poisson structures
- New quantum Poincaré algebra and \(\kappa\)-deformed field theory
- The quantum structure of spacetime of the Planck scale and quantum fields
- \(\kappa\)-Minkowski-deformation of U(1) gauge theory
- Single extra dimension from \(\kappa\)-Poincaré and gauge invariance
- Deformed quantum phase spaces, realizations, star products and twists
- Generalized Heisenberg algebra, realizations of the \(\mathfrak{gl}(N)\) algebra and applications
- A novel approach to non-commutative gauge theory
- Unification of \(\kappa\)-Minkowski and extended Snyder spaces
- Time discretization from noncommutativity
- \(\kappa \)-deformed phase space, Hopf algebroid and twisting
- \(\kappa\)-Poincaré-Hopf algebra and Hopf algebroid structure of phase space from twist
- Bicrossproduct structure of \(\kappa\)-Poincaré group and non-commutative geometry.
- Some remarks about the associated envelope of a Lie algebra
- Toward the classification of differential calculi on \(\kappa\)-Minkowski space and related field theories
- Exponential formulas, normal ordering and the Weyl-Heisenberg algebra
- KONTSEVICH'S UNIVERSAL FORMULA FOR DEFORMATION QUANTIZATION AND THE CAMPBELL–BAKER–HAUSDORFF FORMULA
- Boson and differential realizations of polynomial angular momentum algebra
- The Weyl realizations of Lie algebras, and left–right duality
- Parameter-dependent associative Yang–Baxter equations and Poisson brackets
- Hopf Algebroids
- Quantum symmetry, the cosmological constant and Planck-scale phenomenology
- Generalized Heisenberg algebra applied to realizations of the orthogonal, Lorentz, and Poincaré algebras and their dual extensions
- Generalized kappa-deformed spaces, star products and their realizations
- Tensor coordinates in noncommutative mechanics
- On q-Analogues of the Fourier and Hankel Transforms
- On realizations of `nonlinear' Lie algebras by differential operators
- WAVES ON NONCOMMUTATIVE SPACE–TIME AND GAMMA-RAY BURSTS
- Generalization of Weyl realization to a class of Lie superalgebras
- RELATIVITY IN SPACETIMES WITH SHORT-DISTANCE STRUCTURE GOVERNED BY AN OBSERVER-INDEPENDENT (PLANCKIAN) LENGTH SCALE
- The n-dimensional kappa -Poincare algebra and group
- Quantum Poincare group related to the kappa -Poincare algebra
- Classical and quantum mechanics of the nonrelativistic Snyder model in curved space
- Deformations of Spacetime Symmetries
- Remarks on simple interpolation between Jordanian twists
- NON-COMMUTATIVE SPACE–TIME OF DOUBLY SPECIAL RELATIVITY THEORIES
- On Quantized Space-Time
- Quantized Space-Time
- Testable scenario for relativity with minimum length
- Quantum groupoids
