We derive a new real quantum Poincaré algebra with standard real structure, obtained by contraction of Uq(O(3,2)) (q real), which is a standard real Hopf algebra, depending on a dimension-full parameter κ instead of q. For our real quantum Poincaré algebra both Casimirs are given. The free scalar κ-deformed quantum field theory is considered, it appears that the κ-parameter introduced nonlocal q-times derivatives with ln q~1/κ
A general formalism is developed that allows the construction of a field theory on quantum spaces wh...
Field theories whose space-time symmetries are governed by the κ-deformed Poincaré algebra exhibit p...
We give an elementary introduction to the Drinfeld-Jimbo procedure of the quantum deformation Uq(g) ...
A new real quantum Poincaré algebra which is a standard ∗-Hopf algebra is obtained by the constructi...
The contraction of quantum Lie algebras providing D = 4 quantum Poincaré algebras are briefly reviev...
The κ-deformed D = 4 Poincaré algebra is obtained by a special contraction of the real quantum Lie a...
The κ-deformation of the D-dimensional Poincaré algebra (D ≥ 2) with any signature is given. Further...
A general class of deformations of the complexified D=4 Poincaré algebra O(3,1;C)⊇T4(C) is considere...
The contraction of quantum Lie algebras providing real D = 4 quantum Poincaré algebras are briefly r...
The quantum duality principle is used to obtain explicitly the Poisson analogue of the κ-(A)dS quant...
We propose a definition of a Poincare algebra for a two-dimensional spacetime with one discretized d...
We consider the extensions of classical r-matrix for \kappa-deformed Poincar\'{e} algebra which sati...
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Ci...
Producción CientíficaThe quantum duality principle is used to obtain explicitly the Poisson analogue...
We present in this paper quantum real lines as quantum defomations of the real numbers $\R$.Upon def...
A general formalism is developed that allows the construction of a field theory on quantum spaces wh...
Field theories whose space-time symmetries are governed by the κ-deformed Poincaré algebra exhibit p...
We give an elementary introduction to the Drinfeld-Jimbo procedure of the quantum deformation Uq(g) ...
A new real quantum Poincaré algebra which is a standard ∗-Hopf algebra is obtained by the constructi...
The contraction of quantum Lie algebras providing D = 4 quantum Poincaré algebras are briefly reviev...
The κ-deformed D = 4 Poincaré algebra is obtained by a special contraction of the real quantum Lie a...
The κ-deformation of the D-dimensional Poincaré algebra (D ≥ 2) with any signature is given. Further...
A general class of deformations of the complexified D=4 Poincaré algebra O(3,1;C)⊇T4(C) is considere...
The contraction of quantum Lie algebras providing real D = 4 quantum Poincaré algebras are briefly r...
The quantum duality principle is used to obtain explicitly the Poisson analogue of the κ-(A)dS quant...
We propose a definition of a Poincare algebra for a two-dimensional spacetime with one discretized d...
We consider the extensions of classical r-matrix for \kappa-deformed Poincar\'{e} algebra which sati...
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Ci...
Producción CientíficaThe quantum duality principle is used to obtain explicitly the Poisson analogue...
We present in this paper quantum real lines as quantum defomations of the real numbers $\R$.Upon def...
A general formalism is developed that allows the construction of a field theory on quantum spaces wh...
Field theories whose space-time symmetries are governed by the κ-deformed Poincaré algebra exhibit p...
We give an elementary introduction to the Drinfeld-Jimbo procedure of the quantum deformation Uq(g) ...