# The κ-(A)dS quantum algebra in (3 + 1) dimensions

@article{Ballesteros2016TheQ, title={The $\kappa$-(A)dS quantum algebra in (3 + 1) dimensions}, author={{\'A}ngel Ballesteros and Francisco J. Herranz and Fabio Musso and Pedro Naranjo}, journal={Physics Letters B}, year={2016}, volume={766}, pages={205-211} }

## 21 Citations

### Noncommutative (A)dS and Minkowski spacetimes from quantum Lorentz subgroups

- MathematicsClassical and Quantum Gravity
- 2021

The complete classification of classical r-matrices generating quantum deformations of the (3 + 1)-dimensional (A)dS and Poincaré groups such that their Lorentz sector is a quantum subgroup is…

### M ay 2 01 9 The κ-( A ) dS noncommutative spacetime

- Physics
- 2019

The (3+1)-dimensional κ-(A)dS noncommutative spacetime is explicitly constructed by quantizing its semiclassical counterpart, which is the κ-(A)dS Poisson homogeneous space. Under minimal physical…

### Physical constraints on quantum deformations of spacetime symmetries

- Mathematics, PhysicsNuclear Physics B
- 2018

### Curved momentum spaces from quantum (anti–)de Sitter groups in ( 3+1 ) dimensions

- Mathematics, PhysicsPhysical Review D
- 2018

Curved momentum spaces associated to the $\kappa$-deformation of the (3+1) de Sitter and Anti-de Sitter algebras are constructed as orbits of suitable actions of the dual Poisson-Lie group associated…

### The κ-Newtonian and κ-Carrollian algebras and their noncommutative spacetimes

- Mathematics, PhysicsPhysics Letters B
- 2020

### Interplay between Spacetime Curvature, Speed of Light and Quantum Deformations of Relativistic Symmetries

- PhysicsSymmetry
- 2021

The properties and relations of these algebras of relativistic symmetries and their associated noncommutative spacetimes are surveyed, emphasizing the nontrivial effects of interplay between curvature, quantum deformation and speed of light parameters.

### The Poincaré group as a Drinfel’d double

- MathematicsClassical and Quantum Gravity
- 2018

The eight nonisomorphic Drinfel’d double (DD) structures for the Poincaré Lie group in (2 + 1) dimensions are explicitly constructed in the kinematical basis. Also, the two existing DD structures…

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