On q-Deformations of Clifford Algebras

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dc.creatorFiore, Gaetano
dc.date2000-02-23
dc.date2000-02-28
dc.date.accessioned2026-07-07T04:34:01Z
dc.date.available2026-07-07T04:34:01Z
dc.descriptionSeveral Clifford algebras that are covariant under the action of a Lie algebra $g$ can be deformed in a way consistent with the deformation of $Ug$ into a quantum group (or into a triangular Hopf algebra) $U_qg$, i.e. so as to remain covariant under the action of $U_qg$. In this report, after recalling these facts, we review our results regarding the formal realization of the elements of such ``q-deformed'' Clifford algebras as ``functions'' (polynomials) in the generators of the undeformed ones; in particular, the intruiging interplay between the original and the q-deformed symmetry. Finally, we briefly illustrate their dramatic consequences on the representation theories of the original and of the q-deformed Clifford algebra, and mention how these results could turn out to be useful in quantum physics.
dc.description14 pages, LaTex. To appear in Proceedings of the 5th International Conference on Clifford Algebras, Ixtapa 1999
dc.identifierhttps://arxiv.org/abs/math/0002194
dc.identifierhttp://arxiv.org/abs/math/0002194
dc.identifier"CLIFFORD ALGEBRAS AND THEIR APPLICATIONS IN MATHEMATICAL PHYSICS", Vol. 1: Algebra and Physics, Ed. R. Ablamowicz e B. Fauser, Birkhaeuser (2000), 269-282
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58745
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.subject11E88
dc.titleOn q-Deformations of Clifford Algebras
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