k-deformed Poincare algebras and quantum Clifford-Hopf algebras

Details k-deformed Poincare algebras and quantum Clifford-Hopf algebras k-deformed Poincare algebras and quantum Clifford-Hopf algebras

2008-01-30

arxiv.org/abs/0801.4647v2

Int.J.Geom.Meth.Mod.Phys. 7 (2010) 821-836

Physics

Mathematical Physics

10 pages, RevTeX, one Section and references added, improved content.

Scientific paper

10.1142/S0219887810004567

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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