On the absence of continuous symmetries for noncommutative 3-spheres

dc.contributor.authorLizzi, F
dc.contributor.authorStern, A
dc.contributor.authorVitale, P
dc.contributor.otherUniversity of Naples Federico II
dc.contributor.otherIstituto Nazionale di Fisica Nucleare (INFN)
dc.contributor.otherUniversity of Alabama Tuscaloosa
dc.date.accessioned2019-07-29T21:58:03Z
dc.date.available2019-07-29T21:58:03Z
dc.date.issued2005-10-24
dc.description.abstractA large class of noncommutative spherical manifolds was obtained recently from cohomology considerations. A one-parameter family of twisted three-spheres was discovered by Connes and Landi, and later generalized to a three-parameter family by Connes and Dubois-Violette. The spheres of Connes and Landi were shown to be homogeneous spaces for certain compact quantum groups. Here we investigate whether this property can be extended to the noncommutative three-spheres of Connes and Dubois-Violette. Upon restricting to quantum groups which are continuous deformations of Spin(4) and SO(4) with standard coactions, our results suggest that this is not the case. (c) 2005 American Institute of Physics.en_US
dc.format.mimetypeapplication/pdf
dc.identifier.citationLizzi, F., Stern, A., Vitale, P. (2005): On the Absence of Continuous Symmetries for Noncommutative 3-Spheres. Journal of Mathematical Physics, 46(10). DOI: https://doi.org/10.1063/1.2070087
dc.identifier.doi10.1063/1.2070087
dc.identifier.orcidhttps://orcid.org/0000-0002-5146-410X
dc.identifier.orcidhttps://orcid.org/0000-0002-5146-410X
dc.identifier.orcidhttps://orcid.org/0000-0002-1092-0383
dc.identifier.urihttp://ir.ua.edu/handle/123456789/6050
dc.languageEnglish
dc.language.isoen_US
dc.publisherAmerican Institute of Physics
dc.subjectQUANTUM GROUPS
dc.subjectDEFORMATIONS
dc.subjectMANIFOLDS
dc.subjectPhysics, Mathematical
dc.subjectPhysics
dc.titleOn the absence of continuous symmetries for noncommutative 3-spheresen_US
dc.typetext
dc.typeArticle
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