quantum clifford algebra
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2010 ◽  
Vol 07 (05) ◽  
pp. 821-836 ◽  
Author(s):  
ROLDÃO DA ROCHA ◽  
ALEX E. BERNARDINI ◽  
JAYME VAZ

The Minkowski space–time quantum Clifford algebra structure associated with the conformal group and the Clifford–Hopf alternative κ-deformed quantum Poincaré algebra is investigated in the Atiyah–Bott–Shapiro mod 8 theorem context. The resulting algebra is equivalent to the deformed anti-de Sitter algebra [Formula: see text], 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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