k-deformed Poincare algebras and quantum Clifford-Hopf algebras
arXiv:0801.4647 · doi:10.1142/S0219887810004567
Abstract
The Minkowski spacetime quantum Clifford algebra structure associated with the conformal group and the Clifford-Hopf alternative k-deformed quantum Poincare algebra is investigated in the Atiyah-Bott-Shapiro mod 8 theorem context. The resulting algebra is equivalent to the deformed anti-de Sitter algebra U_q(so(3,2)), when the associated Clifford-Hopf algebra is taken into account, together with the associated quantum Clifford algebra and a (not braided) deformation of the periodicity Atiyah-Bott-Shapiro theorem.
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References in corpus (8)
- Clifford algebra-parametrized octonions and generalizations
- Isotopic liftings of Clifford algebras and applications in elementary particle mass matrices
- Obtaining the equation of motion for a fermionic particle in a generalized Lorentz-violating system framework
- Lorentz-violating dilatations in the momentum space and some extensions on non-linear actions of Lorentz algebra-preserving systems
- Dirac neutrino mass from the beta decay end-point modified by the dynamics of a Lorentz-violating equation of motion
- Reply to Itin, Obukhov and Hehl paper "An Electric Charge has no Screw Sense - A Comment on the Twist-Free Formulation of Electrodynamics by da Rocha & Rodrigues"
- Pair and Impar, Even and Odd Form Fields and Electromagnetism
- On Clifford Subalgebras, Spacetime Splittings and Applications