The $q$-linked complex Minkowski space, its real forms and deformed isometry groups

We establish duality between real forms of the quantum deformation of the 4-dimensional orthogonal group studied by Fioresi et al. and the classification work made by Borowiec et al.. Classically these real forms are the isometry groups of $\mathbb{R}^4$ equipped with Euclidean, Kleinian or Lorentzi...

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Bibliographic Details
Main Authors Fioresi, R, Latini, E, Marrani, A
Format Journal Article
LanguageEnglish
Published 13.03.2018
Subjects
Mathematics - Mathematical Physics
Mathematics - Quantum Algebra
Physics - High Energy Physics - Theory
Physics - Mathematical Physics
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Summary:We establish duality between real forms of the quantum deformation of the 4-dimensional orthogonal group studied by Fioresi et al. and the classification work made by Borowiec et al.. Classically these real forms are the isometry groups of $\mathbb{R}^4$ equipped with Euclidean, Kleinian or Lorentzian metric. A general deformation, named $q$-linked, of each of these spaces is then constructed, together with the coaction of the corresponding isometry group.
DOI:10.48550/arxiv.1803.04730