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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

kappa-DEFORMED POINCARE ALGEBRAS AND QUANTUM CLIFFORD-HOPF ALGEBRAS

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Author(s):
Da Rocha, Roldao [1] ; Bernardini, Alex E. [2] ; Vaz, Jr., Jayme [3]
Total Authors: 3
Affiliation:
[1] Univ Fed ABC, Ctr Matemat Computacao & Cognicao, BR-09210170 Santo Andre, SP - Brazil
[2] Univ Fed Sao Carlos, Dept Fis, BR-13565905 Sao Carlos, SP - Brazil
[3] IMECC Unicamp, Dept Matemat Aplicada, BR-13083859 Campinas, SP - Brazil
Total Affiliations: 3
Document type: Journal article
Source: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS; v. 7, n. 5, p. 821-836, AUG 2010.
Web of Science Citations: 11
Abstract

The Minkowski space-time quantum Clifford algebra structure associated with the conformal group and the Clifford-Hopf alternative kappa-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. (AU)